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GRE
GRE Quantitative Reasoning Section

Area of an Inscribed Circle in a Square

Easy Geometry Circles

A circle is inscribed in a square. Each side of the square measures 8 units. Calculate the area of the inscribed circle.

To find the area of the circle, you will first need to determine its radius. The radius of the inscribed circle in a square is equal to half the length of a side of the square. Therefore, if the side length of the square is $s$, the radius $r$ of the circle is given by:

$r = \f\frac{s}{2}$

Once you calculate the radius, the area $A$ of the circle can be found using the formula:

$A = \pi r^2$

Hint

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