Question

the diameter of a circle is 24 cm. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius \(r\) of a circle is half of the diameter \(d\). Given \(d = 24\) cm, so \(r=\frac{d}{2}=\frac{24}{2}=12\) cm.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 12\) into the formula: \(A=\pi\times(12)^{2}=\pi\times144\). Using \(\pi\approx3.14159\), then \(A\approx3.14159\times144 = 452.389\).

Answer:

\(452\)