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The radius of a circle measures 5 inches. A central angle of the circle measuring 5π/12 radians cuts off a sector.

What is the area of the sector?

 Apr 14, 2020
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The central angle measures  5pi/12.

The full circle measures  2pi.

 

Finding the portion of the circle:  (5pi/12) / 2pi  =  5/24th  of the circle.

 

The area of the circle is:  pi · (5 in)2   =  25pi in2

 

Finding  5/24th  of the circle:  (5/24) · (25pi in2)  =  125/24 pi in2 

 Apr 14, 2020

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