Question

1. determine the area of the shaded region. use 3.14 for pi. round to the nearest t 10 in 10 in 4 in 100 in² 49.8 in² 78.9 in²

Explanation:

Step1: Calculate area of square

The area formula for a square is $A = s^2$, where $s$ is the side - length. Here, $s = 10$ in, so $A_{square}=10\times10 = 100$ in$^2$.

Step2: Calculate area of circle

The area formula for a circle is $A=\pi r^2$, with $\pi = 3.14$ and $r = 4$ in. So $A_{circle}=3.14\times4^2=3.14\times16 = 50.24$ in$^2$.

Step3: Calculate area of shaded region

The area of the shaded region $A_{shaded}=A_{square}-A_{circle}$. So $A_{shaded}=100 - 50.24=49.76\approx49.8$ in$^2$.

Answer:

$49.8$ in$^2$