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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?

 

 Apr 16, 2024
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        Asector  =  (83 / 360) • Acircle    

 

        Acircle  =  π r2    

 

        60 π  =  (83 / 360) • π r2      For the next step, cancel out the π's      

                                                     and divide both sides by (83 / 360)   

 

        r2  =  60 • (360 / 83)  =  260.24        

 

        r  =  sqrt(260.24)  =  16.13   

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 Apr 16, 2024

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