ame4lishmarco ame4lishmarco

08-08-2016
Mathematics

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Express answer in exact form.

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

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HomertheGenius HomertheGenius

13-08-2016

A chord and a radius form an equilateral triangle.
The area of the larger segment is:
A = 5/6 r² π + r²√3/2 = 5/6 · 64 · 3.14 + 32 · 1.73 =
= 167.47 + 55.36 = 222.83 in²

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