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

Answer:

$301.44$

Explanation:

Step1: Find outer - radius

The diameter of the inner circle is $d = 16$ m, so the radius of the inner circle $r=8$ m. The width of the ring is $4$ m, so the outer - radius $R=r + 4=8 + 4=12$ m.

Step2: Use the formula for the area of a ring

The area of a ring (shaded region) is $A=\pi(R^{2}-r^{2})$. Substitute $R = 12$ m, $r = 8$ m and $\pi=3.14$ into the formula. $A=3.14\times(12^{2}-8^{2})$

Step3: Calculate the squares

$12^{2}=144$ and $8^{2}=64$. Then $A = 3.14\times(144 - 64)$.

Step4: Subtract inside the parentheses

$144-64 = 80$. So $A=3.14\times80$.

Step5: Multiply

$3.14\times80=251.2$ square meters.