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A circle with radius 4 cm is tangent to three sides of a rectangle, as shown. The area of the rectangle is twice the area of the circle. What is the length of the longer side of the rectangle, in centimeters? Express your answer in terms of pi.

 Apr 16, 2020
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Area of circle is πr2                                            42 • π =  16π 

 

Area of rectangle is twice area of circle            2 • 16π =  32π 

 

Area of rectangle is length times width                  L • 8 = 32π 

 

Divide both sides by 8                                               L  =  4π cm 

.

 Apr 16, 2020

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