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A square with sides of 12 units is inscribed in a circle. What is the value of K if the area of the circle is Kpi square units?

waffles  Oct 14, 2017
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The diagonal of the square, and hence the diameter of the circle, will be \(\sqrt2\times12\)

 

The area of the circle will therefore be:  \(\pi\times(\sqrt2\times12)^2/4\)   

 

Equate this to \(k\times\pi\)   and rearrange to get k

Alan  Oct 15, 2017

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