SOLUTION: A swimming pool is constructed in the shape of two intersecting identical circles having a radius of 9 m. The distance between their centers is 9 m.Find the area of the swimming po

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Question 1153290: A swimming pool is constructed in the shape of two intersecting identical circles having a radius of 9 m. The distance between their centers is 9 m.Find the area of the swimming pool.
A.435.09 m2
B.428.67 m2
C.409.44 m2
D.401.83 m2

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the area A of one circle of the radius of 9 meters.


Then double it to get 2A.


Then take 2A+-+%282%2F6%29A = 2A+-+%281%2F3%29A = %285%2F3%29%2AA.


Then add to it the area of two equilateral triangles with the side length of 9 meters.


In this way, you will get the answer.

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If you need more details and explanations, look into the lesson
    - Area of a segment of the circle
in this site, Problem 2.