Question

Two concentric circles are shown below. The radius of the larger circle is 8 centimeters, while the radius of the smaller circle is 6 centimeters. What is the EXACT area of the shaded region in the figure shown below in square centimeters? 8 6 EXACT area = ? type pi form

Answer 1

start by finding the area for both of the circles with radio 8 and 6 using the formula

`A=\pi\cdot r^2`

then

`\begin{gathered} A=\pi\cdot8^2 \\ A=64\pi \\ \text{small circle} \\ A=\pi\cdot6^2 \\ A=36\pi \end{gathered}`

to find the exact area substract the bigger one with the smallest one

`\begin{gathered} A_t=64\pi-36\pi \\ A_t=28\pi \end{gathered}`