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

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) (Show Source): You can put this solution on YOUR website!
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: = 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
* 201.062 = 33.51 sq/in
:
Find the area of the equilateral triangle. (4* = 27.71
:
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
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