Question

8 G Find the area of the shaded area. Round your answer to the nearest tenth

Answer 1

47.1 units^2

Explanation:

The area of the shaded region is equal to the area of the bigger circle minus the area of the smaller circle.

Now, the area of a circle is given by

`A=\pi r^2`

where r is the radius of the circle.

The radius of the bigger circle is r = 8; thereofre, the area is

`\begin{gathered} A=\pi(8)^2 \\ A=64\pi \end{gathered}`

And the radius of the smaller circle is r = 7; therefore, the area is

`A=\pi(7)^2`
`A=49\pi`

The area of the shaded region is the difference between the two areas above:

`Area=64\pi-49\pi`
`\text{Area}=15\pi`

`\text{Area}=15(3.1415)`

Rounded to the nearest tenth the answer is

`\text{Area}=47.1`