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In the diagram, O is the center of a circle with radii OP=OQ=\(20\). What is the perimeter of the shaded region?

 

 Apr 6, 2022

Best Answer 

 #1
avatar+23200 
+2

Since there are 360o in a circle and a 90o sector has been removed, 270o remain.

 

Therefore, you want 270o / 360o, or 3/4ths of the circumference (plus the two radii).

 

The formula for the circumference of a circle is:  2·pi·radius.

 

[ (3/4) · (2·pi·20) ] + [ 2·20 ]  =  the perimeter of the shaded region

 Apr 6, 2022
 #1
avatar+23200 
+2
Best Answer

Since there are 360o in a circle and a 90o sector has been removed, 270o remain.

 

Therefore, you want 270o / 360o, or 3/4ths of the circumference (plus the two radii).

 

The formula for the circumference of a circle is:  2·pi·radius.

 

[ (3/4) · (2·pi·20) ] + [ 2·20 ]  =  the perimeter of the shaded region

geno3141 Apr 6, 2022

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