SOLUTION: Circle O has an area of 200 m2. Points A and B lie on the circle. Sector AOB has an area of 50m2. What is the measure of angle AOB?

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Question 1156984: Circle O has an area of 200 m2. Points A and B lie on the circle. Sector AOB has an area of 50m2. What is the measure of angle AOB?
Answer by mananth(16946) About Me  (Show Source):
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Circle O has an area of 200 m2. Points A and B lie on the circle. Sector AOB has an area of 50m2. What is the measure of angle AOB?
Area of sector is 1/4 area of circle therefore angle is 90 degrees
Area of circle = pi r^2


Area+of+sector+=+%28%28theta%29%2F360%29%2Aarea+of+circle
50%2F200+=%28theta%29%2F360%29
1/4 * 360 = %28theta%29
%28theta%29 =90