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The product of two inches and the circumference of a circle, in inches, is equal to the circle’s area. What is the length of the radius of the circle, in inches?

 Nov 6, 2019
 #1
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2 * ( 2*pi * r)   =  pi * r^2       divide through by pi

 

2 * 2 * r  = r^2

 

4 r   =  r^2       rearrange as

 

r^2  - 4r   =  0       factor

 

r ( r - 4) = 0

 

Set each factor to 0  and solve for r and we get that

 

r  =  0   inches    (reject)

 

r  = 4 inches       (accept)

 

 

cool cool cool

 Nov 6, 2019

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