Question

1. determine the area of the shaded region. use 3.14 for π. round to the nearest tenth.

78.9 in² 100 in² 42.9 in² 132.2 in²

Explanation:

Step1: Calculate area of square

The side - length of the square is $s = 10$ inches. The area formula of a square is $A_{square}=s^{2}$. So, $A_{square}=10^{2}=100$ square inches.

Step2: Calculate area of circle

The radius of the circle is $r = 4.5$ inches. The area formula of a circle is $A_{circle}=\pi r^{2}$. Using $\pi = 3.14$, we have $A_{circle}=3.14\times4.5^{2}=3.14\times20.25 = 63.585$ square inches.

Step3: Calculate area of shaded region

The area of the shaded region $A$ is the area of the square minus the area of the circle. So, $A = A_{square}-A_{circle}=100 - 63.585=36.415\approx36.4$ square inches.

Answer:

$36.4$ square inches