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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
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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 

\(\frac{83}{360}\pi r^2 = 60\pi\\ 83/360r^2=60\\ r^2=60*360/83\\ r^2 = 21600/83\\ r=\sqrt{216000/83} \approx 16.132\)

 

Thanks! :)

 Jun 10, 2024

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