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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?

 Aug 2, 2025
 #1
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Where is the circle sector shown??

 

What is the radius of the circle?

 

\(A_{sector}=\dfrac{\pi r^2\alpha}{360°}\\ A_{sector}=\dfrac{60}{\pi}\\ r_{sector}=\sqrt{\dfrac{60\cdot 360°}{\pi \alpha}\cdot \dfrac{2\pi}{360°}}\\ \color{blue}r_{sector}=\sqrt{\dfrac{120}{\alpha }}\)

 

laugh !

 Aug 3, 2025

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