Question

two concentric circular regions have radii of $1$ inch and $10$ inches. what is the area, in square inches, outside the smaller region, but inside the larger region? express your answer in terms of $\pi$.

Answer 1

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

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

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

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