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A sector of a circle is shown below.  The sector has an area of $60 \pi.$  What is the radius of the circle?

 

 Jun 10, 2024
 #1
avatar+1946 
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Alright, let's note that the sector has an angle of 83 degrees. 

 

This means the area of the sector is 83/360 of the total area. 

 

We can write the equation 

83360πr2=60π83/360r2=60r2=60360/83r2=21600/83r=216000/8316.132

 

Thanks! :)

 Jun 10, 2024

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