Answer
$\dfrac{10 \pi}{200}$ or, $15.7 \%$
Work Step by Step
Area of the square is equal to $A=\dfrac{1}{2} (20)(20)=200 \ in.^2$
The probability $P$ is the ratio of the area of the circle and the area of the square:
$P=\dfrac{\pi (\sqrt {10})^2}{200}=\dfrac{10 \pi}{200}$ or, $15.7 \%$