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SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B.

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Presentation on theme: "SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B."— Presentation transcript:

1 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r r A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

2 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r r A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

3 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r r A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

4 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r r c 2 = a 2 + b 2 - 2*a*b*cos(θ) A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

5 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

6 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

7 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

8 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB L AB 2 = r 2 + r 2 - 2*r*r*cos(AOB) A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

9 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB L AB 2 = r 2 + r 2 - 2*r*r*cos(AOB) L AB = 2*r 2 * (1 - cos(AOB)) A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m

10 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB L AB 2 = r 2 + r 2 - 2*r*r*cos(AOB) L AB = 2*r 2 * (1 - cos(AOB))

11 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB L AB 2 = r 2 + r 2 - 2*r*r*cos(AOB) L AB = 2*r 2 * (1 - cos(AOB)) L AB = 16.87 meters

12 SATMathVideos.Net A circle has a radius of 10 meters, and an interior angle AOB of 115 degrees. What is the distance between points A and B? A) 15.00 m B) 15.87 m C) 16.27 m D) 16.87 m A c = L AB O B r = b r = a c 2 = a 2 + b 2 - 2*a*b*cos(θ) θ = AOB L AB 2 = r 2 + r 2 - 2*r*r*cos(AOB) L AB = 2*r 2 * (1 - cos(AOB)) L AB = 16.87 metersAnswer: D

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