Question

the radius of a circle is 9 inches. what is the circle’s area? round your answer to the nearest hundredth. square inches

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle with radius \( r \) is \( A = \pi r^2 \).

Step2: Substitute the given radius into the formula

Given that the radius \( r = 9 \) inches, we substitute \( r = 9 \) into the formula: \( A=\pi\times(9)^2 \).

Step3: Calculate the value

First, calculate \( 9^2 = 81 \). Then, multiply by \( \pi \): \( A = 81\pi \). Using \( \pi\approx3.14159 \), we get \( A\approx81\times3.14159 \approx 254.469 \).

Step4: Round to the nearest hundredth

Rounding \( 254.469 \) to the nearest hundredth gives \( 254.47 \).

Answer:

254.47