two concentric circular regions have radii of $1$ inch and $10$ inches. what is the area, in square inches, outside the smaller

Question

2 years ago

8

region, but inside the larger region? express your answer in terms of $\pi$.

1 answer:

Llana [10] · Answer 1 · 2023-07-08T20:46:33+03:00

The area, in square inches, outside the smaller region, but inside the larger region is 99π

<h3>How to determine the area, in square inches, outside the smaller region, but inside the larger region?</h3>

The given parameters are:

Radius, r1 = 1 inch

Radius, r2 = 10 inches

The area, in square inches, outside the smaller region, but inside the larger region is calculated as

Area = π(R^2 - r^2)

This gives

Area = π(10^2 - 1^2)

Evaluate the difference

Area = 99π

Hence, the area, in square inches, outside the smaller region, but inside the larger region is 99π