Question

Given that the circle is inscribed in the given square,what is the ratio of the area of the circle to the area of the square?

• A. $\frac{\pi }{2}$
• B. $\frac{\pi }{3}$
• C. $\frac{\pi }{4}$
• D. $\frac{\pi }{5}$

Answer 1

The correct option is C $\frac{\pi }{4}$

Area of circle $=\pi r^2$
Area of square $=s^2$
$\text{Ratio}=\frac{\pi r^2}{s^2}$
$=\frac{\pi 5^2}{{10}^2}$
$=\frac{25\pi }{100}$
$=\frac{\pi }{4}$