SOLUTION: Find the area of a segment formed by a chord 8" long in a circle with radius of 8"

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Question 1094680: Find the area of a segment formed by a chord 8" long in a circle with radius of 8"
Answer by ikleyn(52829) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of your segment is 1%2F6 of the area of the circle with the radius 8 MINUS the area of the equilateral triangle with the side length 8, i.e.

the area of the segment = %281%2F6%29%2Api%2A8%5E2 - %288%5E2%2Asqrt%283%29%29%2F4 = %2864pi%29%2F6 - %2864%2Asqrt%283%29%29%2F4 = %2832pi%29%2F3 - 16%2Asqrt%283%29 = 5.78 square inches (approximately).


Answer.  The area of the segment is   %2832pi%29%2F3 - 16%2Asqrt%283%29 = 5.78  square inches  (approximately).