Question

the diameter of a circle is 22 miles. what is the circle’s area?
round your answer to the nearest hundredth.

square miles

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Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 22 \) miles, so \( r=\frac{d}{2}=\frac{22}{2} = 11 \) miles.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 11 \) into the formula: \( A=\pi\times11^{2}=\pi\times121\approx3.14159\times121\approx380.13 \) square miles.

Answer:

\( 380.13 \)