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A sector of a circle has a central angle of 80 degrees. If the area of the sector is 35pi, what is the radius of the circle?

 May 29, 2021
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The sector of 80 degrees is a fraction of the TOTAL 360 degrees of the circle :  80 / 360

 

The area of a circle is given by    Area = pi r^2

  so for this sector 

     Area =  80 / 360  pi r^2 

       35 pi   = 80 / 360 pi  r^2          divide both sides by pi

        35 = 80 / 360 r^2

         35  * 360/80  = r2       Can you finish from here ?? cheeky

 May 29, 2021

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