+0  
 
0
34
1
avatar

A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.

 Sep 9, 2020
edited by Guest  Sep 9, 2020
 #1
avatar+1193 
+1

The arc is 120/360 = 1/3 around the circle. So the chord makes a triangle with 30-30-120 angles and sides radius, radius, 8 in.

Split this in the middle of the 120 angle to form two 30-60-90 triangles. The side lengths for the triangle are 4/sqrt(3), 4. The area is 8/sqrt(3), and since there are two the area is 16/sqrt(3) = 16sqrt(3)/3.

 

You are very welcome!

:P

 Sep 9, 2020

42 Online Users

avatar
avatar