Question

What is the area of the shaded region?

Answer 1

125.76 cm²

Explanation:

A quick way to do this is to take the radius of the larger circle, R, and then take the radius of the smaller circle, r, and find the difference between the two areas:

`\pi(R^2-r^2)=\pi(7^2-3^2)=\pi(49-9)=40\pi`

Therefore, the area of the shaded region is 40π cm², or about 125.76 cm².

Answer 2

125.66 cm²

Explanation:

area of larger circle = π r²

= π (7)²

= 49π

area of smaller circle = π r²

= π (3)²

= 9π

area of shaded region = 49π - 9π

= 40π

= 125.66 cm² to nearest one hundredth