both circles have the same center. what is the area of the shaded region? use 3.14 for π. write your answer…

Explanation:

Step1: Find area of outer - circle

The formula for the area of a circle is $A = \pi R^{2}$. The radius of the outer - circle $R=12.7$ yd. So, $A_{outer}=\pi R^{2}=3.14\times(12.7)^{2}=3.14\times161.29 = 506.4506$ square yards.

Step2: Find area of inner - circle

The radius of the inner - circle $r = 9.7$ yd. Using the area formula $A=\pi r^{2}$, we have $A_{inner}=\pi r^{2}=3.14\times(9.7)^{2}=3.14\times94.09 = 295.4426$ square yards.

Step3: Find area of shaded region

The area of the shaded region $A_{shaded}=A_{outer}-A_{inner}$. So, $A_{shaded}=506.4506 - 295.4426=211.008\approx211.01$ square yards.

Answer:

$211.01$