Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Chapter 5.2, Problem 7BE
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Problem1
We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.
Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.
This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
A
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3t)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot(3πt)
sin(3лt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411-
4
-2 sin (3лt)
(d)…
Chapter 5 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - Prob. 2AECh. 5.1 - Prob. 3AECh. 5.1 - Prob. 4AECh. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - State the precision and the accuracy of each of...Ch. 5.1 - Prob. 8AECh. 5.1 - Prob. 9AECh. 5.1 - State the precision and the accuracy of each of...
Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Add or subtract as shown. Round your answer to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Multiply or divide as shown. Round to the...Ch. 5.1 - Find the closest fractional equivalent for each of...Ch. 5.1 - Convert as shown.
Write each of the following...Ch. 5.1 - Prob. 3DECh. 5.1 - Prob. 4DECh. 5.1 - Machine Trades Specifications call for drilling a...Ch. 5.1 - Metalworking According to standard American wire...Ch. 5.1 - Automotive Trades An auto mechanic converts a...Ch. 5.1 - General Trades What size wrench, to the nearest...Ch. 5.1 - Drafting Find the missing distance x in the...Ch. 5.1 - Carpentry A truckload of knotty pine paneling...Ch. 5.1 - Automotive Trades The wear on a cylinder has...Ch. 5.1 - Interior Design If the rectangular floor of a room...Ch. 5.1 - Transportation A truck, moving continuously,...Ch. 5.1 - Industrial Technology The volume of a cylindrical...Ch. 5.1 - Electronics If an electromagnetic signal moves at...Ch. 5.1 - Aviation What speed must an airplane average in...Ch. 5.1 - Agriculture A crate full of oranges weighs 28.4...Ch. 5.1 - Water/Wastewater Treatment After repairing a...Ch. 5.1 - Sheet Metal Trades Four pieces of sheet metal with...Ch. 5.2 - Prob. 1AECh. 5.2 - Prob. 2AECh. 5.2 - Prob. 3AECh. 5.2 - Prob. 4AECh. 5.2 - Prob. 5AECh. 5.2 - Prob. 6AECh. 5.2 - Prob. 7AECh. 5.2 - Prob. 8AECh. 5.2 - Prob. 9AECh. 5.2 - Prob. 10AECh. 5.2 - Prob. 11AECh. 5.2 - Prob. 12AECh. 5.2 - Prob. 13AECh. 5.2 - Prob. 14AECh. 5.2 - Prob. 15AECh. 5.2 - Prob. 16AECh. 5.2 - Prob. 17AECh. 5.2 - Prob. 18AECh. 5.2 - Prob. 19AECh. 5.2 - Prob. 20AECh. 5.2 - Prob. 21AECh. 5.2 - Prob. 22AECh. 5.2 - Prob. 23AECh. 5.2 - Prob. 24AECh. 5.2 - Prob. 1BECh. 5.2 - Prob. 2BECh. 5.2 - Prob. 3BECh. 5.2 - Prob. 4BECh. 5.2 - Prob. 5BECh. 5.2 - Prob. 6BECh. 5.2 - Prob. 7BECh. 5.2 - Prob. 8BECh. 5.2 - Prob. 9BECh. 5.2 - Prob. 10BECh. 5.2 - Prob. 11BECh. 5.2 - Prob. 12BECh. 5.2 - Prob. 13BECh. 5.2 - Prob. 14BECh. 5.2 - Prob. 15BECh. 5.2 - Prob. 16BECh. 5.2 - C. Solve: Sports and Leisure The Manitou Incline,...Ch. 5.2 - Carpentry Find the number of board feet in each of...Ch. 5.2 - Construction The hole for a footing needs to be 5...Ch. 5.2 - Solve:
Painting The area covered by a given volume...Ch. 5.2 - General Interest The earliest known unit of length...Ch. 5.2 - C. Solve: General Interest In the Bible (Genesis,...Ch. 5.2 - Flooring and Carpeting A homeowner needing...Ch. 5.2 - Prob. 8CECh. 5.2 - Machine Trades A 56-in. twist drill with a...Ch. 5.2 - Welding How many pieces 838in. long can be cut...Ch. 5.2 - Water/Wastewater Treatment A sewer line has a flow...Ch. 5.2 - Hydrology A reservoir has a capacity of 9000 cu...Ch. 5.2 - Sheet Metal Trades A machinist must cut 12 strips...Ch. 5.2 - Allied Health A hospitalized patient must drink 12...Ch. 5.2 - C. Solve: Culinary Arts A recipe for gazpacho soup...Ch. 5.2 - Carpentry A Metabol Steb 135 Plus top-handle...Ch. 5.2 - Culinary Arts A restaurant manager has developed...Ch. 5.2 - Marine Technology In the petroleum industry, a...Ch. 5.2 - Painting A painter must thin some paint for use in...Ch. 5.2 - Interior Design A designer is pricing a certain...Ch. 5.2 - Landscaping A 2800-sq-ft house is built on a flat...Ch. 5.2 - Transportation A car at rest begins traveling at a...Ch. 5.2 - Prob. 23CECh. 5.2 - Automotive Trades A drum of oil contains 55 gal...Ch. 5.2 - Prob. 25CECh. 5.2 - Architecture Calculate the height of the church...Ch. 5.2 - C. Solve: Hydrology Hydrological engineers often...Ch. 5.2 - Prob. 28CECh. 5.2 - Prob. 29CECh. 5.2 - C. Solve: Life Skills A trades worker has a job in...Ch. 5.2 - Prob. 31CECh. 5.2 - Prob. 32CECh. 5.2 - Prob. 33CECh. 5.2 - Prob. 34CECh. 5.2 - C. Solve: Manufacturing A conveyor belt 18 in....Ch. 5.2 - Prob. 36CECh. 5.2 - Prob. 37CECh. 5.2 - Prob. 38CECh. 5.3 - A. Think Metric For each problem, circle the...Ch. 5.3 - Prob. 2AECh. 5.3 - Prob. 3AECh. 5.3 - A. Think Metric For each problem, circle the...Ch. 5.3 - Prob. 5AECh. 5.3 - Prob. 6AECh. 5.3 - Prob. 7AECh. 5.3 - Prob. 8AECh. 5.3 - Prob. 9AECh. 5.3 - Prob. 10AECh. 5.3 - Prob. 11AECh. 5.3 - Prob. 12AECh. 5.3 - Prob. 13AECh. 5.3 - Prob. 14AECh. 5.3 - Prob. 15AECh. 5.3 - Prob. 16AECh. 5.3 - Prob. 19AECh. 5.3 - Prob. 20AECh. 5.3 - Think Metric Choose the closest estimate. 1....Ch. 5.3 - Think Metric Choose the closest estimate. 2....Ch. 5.3 - Think Metric Choose the closest estimate. 3. Tank...Ch. 5.3 - Think Metric Choose the closest estimate. 4....Ch. 5.3 - Think Metric Choose the closest estimate. 5....Ch. 5.3 - Prob. 6BECh. 5.3 - Think Metric Choose the closest estimate. Cold day...Ch. 5.3 - Prob. 8BECh. 5.3 - Prob. 9BECh. 5.3 - Think Metric Choose the closest estimate. 10. Your...Ch. 5.3 - Prob. 11BECh. 5.3 - Prob. 12BECh. 5.3 - Prob. 1CECh. 5.3 - Prob. 2CECh. 5.3 - Prob. 3CECh. 5.3 - Prob. 4CECh. 5.3 - Prob. 5CECh. 5.3 - Perform the following metricmetric conversions. 6....Ch. 5.3 - Prob. 7CECh. 5.3 - Prob. 8CECh. 5.3 - Prob. 9CECh. 5.3 - Prob. 10CECh. 5.3 - Prob. 11CECh. 5.3 - Prob. 12CECh. 5.3 - Prob. 13CECh. 5.3 - Prob. 14CECh. 5.3 - Prob. 15CECh. 5.3 - Prob. 16CECh. 5.3 - Prob. 17CECh. 5.3 - Prob. 18CECh. 5.3 - Prob. 19CECh. 5.3 - Prob. 20CECh. 5.3 - Prob. 21CECh. 5.3 - Prob. 22CECh. 5.3 - Prob. 23CECh. 5.3 - Prob. 24CECh. 5.3 - Prob. 25CECh. 5.3 - Perform the following metricmetric conversions....Ch. 5.3 - Prob. 1DECh. 5.3 - Prob. 2DECh. 5.3 - Prob. 3DECh. 5.3 - Prob. 4DECh. 5.3 - Prob. 5DECh. 5.3 - Prob. 6DECh. 5.3 - Convert to the units shown. Round to the nearest...Ch. 5.3 - Prob. 8DECh. 5.3 - Prob. 9DECh. 5.3 - Prob. 10DECh. 5.3 - Prob. 11DECh. 5.3 - Prob. 12DECh. 5.3 - Prob. 13DECh. 5.3 - Prob. 14DECh. 5.3 - Prob. 15DECh. 5.3 - Prob. 16DECh. 5.3 - Prob. 17DECh. 5.3 - Prob. 18DECh. 5.3 - Prob. 19DECh. 5.3 - Prob. 20DECh. 5.3 - Prob. 21DECh. 5.3 - Prob. 22DECh. 5.3 - Prob. 23DECh. 5.3 - Prob. 24DECh. 5.3 - Prob. 25DECh. 5.3 - Prob. 26DECh. 5.3 - Prob. 27DECh. 5.3 - Prob. 28DECh. 5.3 - Prob. 29DECh. 5.3 - Prob. 30DECh. 5.3 - Prob. 1EECh. 5.3 - Hydrology One cubic foot of water weighs 62.4 lb....Ch. 5.3 - Prob. 3EECh. 5.3 - B. Practical Applications. Round as indicated....Ch. 5.3 - B. Practical Applications. Round as indicated....Ch. 5.3 - Prob. 6EECh. 5.3 - Prob. 7EECh. 5.3 - Prob. 8EECh. 5.3 - Roofing In roofing, the unit one square is...Ch. 5.3 - General Interest A cord of wood is a volume of...Ch. 5.3 - Prob. 11EECh. 5.3 - Prob. 12EECh. 5.3 - D. Practical Applications Electronics Convert the...Ch. 5.3 - Prob. 14EECh. 5.3 - Sports and Leisure Nutrition scientists have...Ch. 5.3 - Prob. 16EECh. 5.3 - Prob. 17EECh. 5.3 - D. Practical Applications Sports and Leisure By...Ch. 5.3 - Prob. 19EECh. 5.3 - Prob. 20EECh. 5.3 - Prob. 21EECh. 5.3 - Prob. 22EECh. 5.3 - D. Practical Applications Construction The Taipei...Ch. 5.3 - Prob. 24EECh. 5.3 - D. Practical Applications Water/Wastewater...Ch. 5.3 - Prob. 26EECh. 5.3 - Prob. 27EECh. 5.3 - Prob. 28EECh. 5.3 - Prob. 29EECh. 5.3 - Prob. 30EECh. 5.3 - Prob. 31EECh. 5.3 - Prob. 32EECh. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Find the lengths marked on the following rules.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 2BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 7BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 9BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 11BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 17BECh. 5.4 - Read the following micrometers.Ch. 5.4 - Prob. 1CECh. 5.4 - Read the following vernier calipers.Ch. 5.4 - Prob. 3CECh. 5.4 - Prob. 4CECh. 5.4 - Prob. 5CECh. 5.4 - Prob. 6CECh. 5.4 - Prob. 7CECh. 5.4 - Read the following vernier calipers.Ch. 5.4 - Prob. 9CECh. 5.4 - Prob. 10CECh. 5.4 - Prob. 1DECh. 5.4 - Prob. 2DECh. 5.4 - Prob. 3DECh. 5.4 - Prob. 4DECh. 5.4 - Prob. 5DECh. 5.4 - Read the following vernier protractors.Ch. 5.4 - Prob. 7DECh. 5.4 - Read the following vernier protractors.Ch. 5.4 - Prob. 1EECh. 5.4 - Prob. 2EECh. 5.4 - Prob. 3EECh. 5.4 - Prob. 4EECh. 5.4 - Read the following meters. Estimate between scale...Ch. 5.4 - Prob. 1FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 3FECh. 5.4 - Prob. 4FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 7FECh. 5.4 - Read the following water meters, electric meters,...Ch. 5.4 - Prob. 1GECh. 5.4 - Prob. 2GECh. 5.4 - Prob. 3GECh. 5.4 - Prob. 4GECh. 5.4 - Prob. 5GECh. 5.4 - Prob. 6GECh. 5.4 - Prob. 7GECh. 5.4 - Prob. 8GECh. 5.4 - Prob. 9GECh. 5.4 - Prob. 10GECh. 5 - Prob. 1PCh. 5 - Add and subtract measurement numbers. (Round to...Ch. 5 - Multiply and divide measurement numbers. (Round to...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - State the accuracy and precision of each of the...Ch. 5 - State the accuracy and precision of each of the...Ch. 5 - Prob. 3APSCh. 5 - Prob. 4APSCh. 5 - State the accuracy and precision of each of the...Ch. 5 - Prob. 6APSCh. 5 - Prob. 7APSCh. 5 - Prob. 8APSCh. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 6BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 8BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 10BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 12BPSCh. 5 - B. Perform the following calculations with...Ch. 5 - B. Perform the following calculations with...Ch. 5 - Prob. 1CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 3CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 7CPSCh. 5 - Prob. 8CPSCh. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 10CPSCh. 5 - Prob. 11CPSCh. 5 - Prob. 12CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 14CPSCh. 5 - Prob. 15CPSCh. 5 - Prob. 16CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Convert the following measurement numbers to new...Ch. 5 - Prob. 21CPSCh. 5 - Prob. 22CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 25CPSCh. 5 - Prob. 26CPSCh. 5 - Convert the following measurement numbers to new...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 29CPSCh. 5 - Prob. 30CPSCh. 5 - D. Convert the following measurement numbers to...Ch. 5 - D. Convert the following measurement numbers to...Ch. 5 - Prob. 1DPSCh. 5 - Prob. 2DPSCh. 5 - Prob. 3DPSCh. 5 - Prob. 4DPSCh. 5 - Prob. 5DPSCh. 5 - Prob. 6DPSCh. 5 - Read the following measuring devices. Rulers.Ch. 5 - Prob. 2EPSCh. 5 - Prob. 3EPSCh. 5 - Meters.Ch. 5 - Prob. 5EPSCh. 5 - Prob. 1FPSCh. 5 - Practical Applications. If necessary, round to the...Ch. 5 - Prob. 3FPSCh. 5 - Prob. 4FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 11FPSCh. 5 - Prob. 12FPSCh. 5 - Prob. 13FPSCh. 5 - Prob. 14FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 17FPSCh. 5 - Prob. 18FPSCh. 5 - Prob. 19FPSCh. 5 - Prob. 20FPSCh. 5 - Prob. 21FPSCh. 5 - Prob. 22FPSCh. 5 - Prob. 23FPSCh. 5 - Prob. 24FPSCh. 5 - Prob. 25FPSCh. 5 - Prob. 26FPSCh. 5 - Prob. 27FPSCh. 5 - Prob. 28FPSCh. 5 - Prob. 29FPSCh. 5 - Prob. 30FPSCh. 5 - Prob. 31FPSCh. 5 - Prob. 32FPSCh. 5 - G. Practical Applications. If necessary, round to...Ch. 5 - Prob. 34FPSCh. 5 - Prob. 35FPS
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- 5. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.AE.003. y y= ex² 0 Video Example x EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral कर L'ex² dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION 8+2 1 L'ex² d (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] 0.1 [0.0025 +0.0225 + + e0.0625 + 0.1225 e0.3025 + e0.4225 + e0.2025 + + e0.5625 €0.7225 +0.9025] The figure illustrates this approximation. (b) Since f(x) = ex², we have f'(x) = 0 ≤ f'(x) = < 6e. ASK YOUR TEACHER and f'(x) = Also, since 0 ≤ x ≤ 1 we have x² ≤ and so Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final answer to five decimal places.) 6e(1)3 e 24( = ≈arrow_forward1. Consider the following preference ballots: Number of voters Rankings 6 5 4 2 1st choice A DCB DC 2nd choice B B D 3rd choice DCBD 4th choice CA AAA For each of the four voting systems we have studied, determine who would win the election in each case. (Remember: For plurality with runoff, all but the top two vote-getters are simultaneously eliminated at the end of round 1.)arrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forward
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Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Finding the length of an arc; Author: Maths Genie;https://www.youtube.com/watch?v=fWGPf5peCc8;License: Standard YouTube License, CC-BY
Circles, Angle Measures, Arcs, Central & Inscribed Angles, Tangents, Secants & Chords - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=nd46bA9DKE0;License: Standard Youtube License