SOLUTION: Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.

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Question 466623: Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.
:
Find the total area of the circle: pi%2A8%5E2 = 201.062 sq/in
:
The chord and the two radii form an equilateral triangle, all angles 60 degrees.
Find the area of the portion contained in the 60 degree area
60%2F360 * 201.062 = 33.51 sq/in
:
Find the area of the equilateral triangle. (4*sqrt%288%5E2-4%5E2%29 = 27.71
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Find the area of chords smaller segment: 33.51 - 27.71 = 5.8 sq/in
:
Find the area of the larger segment: 201.06 - 5.8 = 195.26 sq/in