Question

the diameter of a circle is 28 miles. what is the circles area?
d=28 mi
round your answer to the nearest hundredth.
square miles
submit

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 28 \) miles, so \( r=\frac{d}{2}=\frac{28}{2}=14 \) miles.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A = \pi r^2 \). Substitute \( r = 14 \) into the formula: \( A=\pi\times14^2=\pi\times196\approx3.14159\times196 = 615.7524 \). Rounding to the nearest hundredth gives \( 615.75 \).

Answer:

\( 615.75 \)