SOLUTION: Please help me solve this problem: What is the area of one segment formed by a square with sides of 6 inches inscribed in a circle. (hint: use the ratio 1:1:√2 to find the r

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Question 599560: Please help me solve this problem: What is the area of one segment formed by a square with sides of 6 inches inscribed in a circle.
(hint: use the ratio 1:1:√2 to find the radius of the circle)
I would really appreciate any help with this question. I do online schooling and am having alot of trouble with my geometry class and fing the area of segments. Thank you for any help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the area of one segment formed by a square with sides of 6 inches inscribed in a circle.
Draw this out and you can see the hypotenuse of the square is also the diameter of the circle, therefore
radius = sqrt%286%5E2%2B6%5E2%29%2F2 = sqrt%2872%29%2F2= sqrt%2836%2A2%29%2F2 =%286%2Asqrt%282%29%29%2F2 = 3%2Asqrt%282%29
Find the area of the circle
A = pi%2A%283%2Asqrt%282%29%29%5E2
A = pi%2A%289%2A2%29
A = pi%2A18
A = 56.55 sq/inches
Subtract the area of the square
56.55 - 36 = 20.55
Find the area of one of the 4 segments
20.55%2F4 = 5.14 sq/in in one segment