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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?

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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?

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

Oct 15, 2017