Question

the diameter of a circle is 38 inches. what is the circles area? round your answer to the nearest hundredth. square inches

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 38 \) inches, so \( r=\frac{d}{2}=\frac{38}{2}=19 \) inches.

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 19 \) into the formula: \( A=\pi\times(19)^{2}=\pi\times361 \).
Using \( \pi\approx3.1415926 \), then \( A\approx3.1415926\times361 \).
\( A\approx 1134.11 \) (rounded to the nearest hundredth).

Answer:

\( 1134.11 \)