Question

the diameter of a circle is 12 meters. what is the circles area?
d=12 m
round your answer to the nearest hundredth.
square meters

Explanation:

Step1: Find the radius

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

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 6 \) into the formula: \( A=\pi\times6^{2}=\pi\times36\approx3.14159\times36 = 113.09724 \).

Step3: Round to nearest hundredth

Rounding \( 113.09724 \) to the nearest hundredth gives \( 113.10 \).

Answer:

113.10