Question

the diameter of a circle is 26 meters. what is the circles area?
round your answer to the nearest hundredth.
square meters

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 26\) m, so \( r=\frac{d}{2}=\frac{26}{2}=13\) m.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2}\). Substitute \( r = 13\) into the formula: \( A=\pi\times(13)^{2}=\pi\times169\). Using \( \pi\approx3.14159\), then \( A\approx3.14159\times169 = 530.92671\).

Answer:

\( 530.93\) square meters