Find the length of arc DF given that m < DOF of circle O is 60° and OF = 15 ft. 60° 15 ft. 20.5 O 15 No Previous

Q: Find the length of the arc on a circle of radius r intercepted by a central angle 0. Round to two…

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Q: Use the unit circle to explain how the value of tan t varies as t increases from  pi/2 to pi

A: Construct the unit circle mark the intervals with pi/6 from pi/2 to pi.

Q: 34. Arc length for a line Consider the segment of the line y = mx + c on the interval [a, b]. Use…

A: at     x = a    and    x = b   the points on the line y = mx + c are    a , ma+c…

Q: A rotating light is located 13 feet from a wall. The light completes one rotation every 3 seconds.…

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Q: Find angle A rounded to the nearest tenth of a degree when cos A = 0.4104.

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Q: A 25-inch-long pendulum swings through an angle of radians.

A: The formula one have to use here is s=rθ where r is the length of the pendulum and θ is the angle in…

Q: Draw a right triangle in which pi/3 is one of the acute angles. label the lengths of the sides…

A: Consider the figure:

Q: Find side z for triangle XYZ rounded to 3 decimal places x=5 y=6 Z=44°

A: We will use cosine rule to solve this

Q: Find the exact value of sin θ  and sec θ  when tan θ  =3/4 and sin θ  < 0.  Do not use a…

A: Given Data: tan θ  =3/4 The figure below represents the reference right angle triangle.

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π/3…

A: Given that the diameter of circle is d=8 meters. Given arc is subtended by a central angle θ=π3…

Q: If cot x = (9/40) . Find the values of cscx and secx

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Q: arc JK = (7x - 39)° and arc ML = 87°, find x. *

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Q: F De

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.