Question

find the area of a circle with diameter 12 m. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 12\space m \), so \( r=\frac{d}{2}=\frac{12}{2}=6\space m \).

Step2: Use the area formula

The area formula of a circle is \( A=\pi r^{2} \). Substitute \( r = 6\space m \) and \( \pi=3.14 \) into the formula. Then \( A = 3.14\times6^{2} \).
First calculate \( 6^{2}=6\times6 = 36 \).
Then \( A=3.14\times36=113.04\space m^{2} \).

Answer:

\(113.04\space m^{2}\)