Express answer in exact form. Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius. help me please ...?

asked Aug 28, 2017 209k views

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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.

help me please ...?

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Radii and chord form an equilateral triangle. The angle of the larger segment is
360^o-60^o=300^o

.

The length of the larger segment is

$l= (2r\pi\alpha)/(360^o)= (2* 8\pi300^o)/(360^o)= ( 16\pi5)/(6)= ( 8\pi5)/(3)=( 40\pi)/(3)$

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