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Circle O has a radius of 5. If the area of the yellow region is 20π, find x (in degrees).

 

 Jun 22, 2020
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The area of the whole circle is  pi · 52  =  25pi.

 

The yellow area is 20pi, so the portion of the circle colored yellow is  20pi / 25pi  or 4/5ths.

 

The number of degrees in the yellow portion of the circle is (4/5)·360o  =  288o.

 

This leaves  360o - 288o  =  72o  for the angle in the triangle.

 

Now, you can calculate how many degrees are in the other angle of the triangle.

 Jun 22, 2020

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