The circle has center O. Its radius Is 5 ft, and the central angle a measures 40°. what is the area of the shaded region? Give the exact answer in terms of t, and be sure to include the correct unit in your answer.

The circle has center O. Its radius Is 5 ft, and the central angle a measures 40°. what is the area of the shaded region? Give the exact answer in terms of t, and be sure to include the correct unit in your answer.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 20E: Find the approximate area of the sector shown. Answer to the nearest hundredth of a square inch.

See similar textbooks

Related questions

Q: The radius of a circle is 4 inches. What is the angle measure of an arc 3ë inches long? r=4 in l=3n…

Q: The diameter of a circle is 6 in. Find its area to the nearest tenth. Answer: A = in?

A: Formula: Radius of the circle =12Diameter of the circle It is given that the diameter of the circle…

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: We will find the value of length of an arc of circle.

Q: A circle with a 40cm diameter subtends an angle of 60 degrees. What is the arc length of the sector…

Q: Given a circle with a radius of 8 units and a sector formed by a central angle of 30 degrees,…

Q: Find the area of the sector of a circle of radius 14 units subtended by an angle of radians. Round…

A: Given:- Circle of radius 14 units subtended by an angle of 23π/12 radians To find:- Area of sector

Q: Find the radius r of the circle if an arc length of 15 cm on the circle subtends a central angle of…

Q: The circle has center O. Its radius is 3 cm, and the central angle a measures 160°. What is the area…

Q: Consider a 72° angle inscribed in the centre of a circle with radius 10cm. (a) What is the length of…

Q: ) Find the length of the arc that subtends the given central angle 35° on a circle of diameter 52…

A: To solve the given problem

Q: For an arc length s, area of sector A, and a central angle θ of a circle of radius r, find the…

A: Given, r=14.38 and θ=4.80 radians

Q: Find the length s of the circular arc. (Assume r = 4 and θ = 122°.)

A: First we convert 122 degree to radian. 1 degree= pi/180 radianSo, 122 degree= 112pi/180 radian

Q: Find the length of the arc formed by the 150° central angle of the circle below. Let pi = 3.14 and…

A: We have to find the length of arc

Q: Determine the length, to 1 decimal place, of the arc that subtends an angle of 4 radians at the…

A: We know that the length of the arc (s) formula is defined as s=rθ, where r is the radius and θ is…

Q: A circle with a diameter of 10 cm and a central angle of 30° is drawn below. What is the area, to…

A: Here we have to first find the area of the sector and then find the nearest tenth of the area.…

Q: Circle Q has a radius of 9 milimeters. The measure of ZUQA is 45 degrees. What is the area of the…

A: Area of sector θ360*πr2

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

Q: If the radius is 9 cm, and the central angle is 80 degrees. Find the following a) Arc length,s b)…

Q: A circle has a radius of 12 m. What is the length of the arc formed by a central angle that measures…

A: Use the formula for the Arc length of the circle than put the given values and simplify.

Q: Find the diameter of the circle (not drawn to scale). BC= 17, and DC= 22. Round yo answer to the…

A: Explanation and solutions is given below....

Q: The angle of a sector in a given circle is 20 degrees and the area of the sector is 800 cm^2. Find…

A: Solution is here

Q: Find the value of x, correct to 1 decimal place, for these triangles with given areas. b 5 cm a x mm…

A: As we know that the expression for the area of triangle when adjacent side and angle between them…

Q: Given a sector with an arc length of 4.5 cm and a radius of 3 cm, find the angle subtended by the…

Q: Triangle RST was dilated to create triangle R'ST, as shown on the coordinate grid below. Which…

A: In triangle RST RT= 4 units In triangle R'S'T' R'T' =10 units

Q: A sector with a radius of 8 cm has an area of 567 cm. 56т ст? r = 8 cm What is the central angle…

Q: The radius of a circle is 7 in. Find its area to the nearest tenth. Answer: A = in? Submit Answer…

A: Area of circle of radius r is given by πr^2 Given radius r=7 in

Q: This exercise involves the formula for the area of a circular sector. Find the radius r of each…

A: Convert the angle into radians.

Q: The length of an arc of a circle with a central angle of 120° is 6r cm Find the radius of the…

Q: Find the area of a sector of a circle having radius r and central angle 0. If necessary, express the…

A: The Area of a sector of a circle having the radius r and central angle θ is expressed as :…

Q: The circle below has center P, and its radius is 3 cm. Given that m ZQPR= 140°, find the length of…

A: We have to find the minor arc length.

Q: The circle has center O. Its radius is 8 m, and the central angle a measures 90°. what is the area…

A: Given radius (r) is 8 m and the angle (θ) is 90°We know that area of shaded region is given…

Q: For a triangle with base b and altitude h, a formula for the area A is _______.

A: It is given that the base of the triangle is b and the altitude of the triangle is h The area of the…

Q: Find

A: Please refer to the image below

Q: The circle below has center O, and its radius is 4 yd. Given that m ZAOB=60°, find the length of the…

Q: The circle below has center C, and its radius is 5 cm. Given that m DCE=110°, find the length of the…

A: Given that The circle given has center C, and it's radius 5cm. m<DCE = 110°. Here we have…

Q: This exercise involves the formula for the area of a circular sector. Find the radius r of each…

Q: The area of a sector of a circle with a central angle of 60° is given by 60T. What is the area of…

A: Explanation of the answer is as follows

Q: A sector of a circle has an angle of 150° ar Round your answer to the nearest tenth of

Q: The circle below has center 0, and its radius is 4 ft. Given that m ZAOB= 40°, find the length of…

A: 1) Angle AOB is 40° 2) Angle for arc ADB is 360° - 40° = 320° 3) Radius of circle is 4 ft 4)…

Q: Consider a unit circle, if an arc subtends an angle of measure 4 (in radians), what is the length of…

A: NOTE: Refresh your page if you can't see any equations. . here we have the given angle is and the…

Q: The radius of a circle is 10 inches. What is the angle measure of an arc 4a inches long? r=10 in…

Q: The circle below has center O, and its radius is 5 in. Glven that mZAOB=30°, find the length of the…

Q: on a circle of radius 13km how long is an arc that subtends a central angle of (a) 6pi/7 radians?…

Q: The area of the sector of a circle has a central angle of 45° and a radius of 7 cm.

A: Given: The central angle of a circle is θ=45° and radius is 7 cm

Q: An angle of measure 2.5 radians traces out an arc of length 7.5 cm. What is the radius of the circle…

A: Given: Angle θ=2.5 radians Arc of length L=7.5 cm Arc Length = θ × r r is the…

Q: 7. Consider the circle drawn below where the measure of, ZC AR 2.15 radians and the measure of the…

A: GIVEN, radius =6cm and angle CAR=2.15 radians

Q: what is the radius of a circle that has a sector area of 3π cm^2 and a central angle of 2π/3…

Q: The circle below has center C, and its radius is 6 yd. Given that m ZDCE=110°, find the length of…

Q: Given scalene right triangle with an acute angle of 65°. h ft 65° 4 ft To the nearest tenth of a…

A: Given, A right triangle with acute angle of 65° Length of legs are 4 ft and h ft We have to find…

Question

100%

The circle has center O. Its radius Is 5 ft, and the central angle a measures 40°. What is the area of the shaded region?
Give the exact answer in terms of TT, and be sure to include the correct unit in your answer.
ft
ft?
ft3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.