Question

the diameter of a circle is 24cm. what is the area of the circle?

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 area formula of a circle is $A=\pi r^{2}$. Substitute $r = 12$cm into the formula, we get $A=\pi\times(12)^{2}=144\pi$ $cm^{2}$. If we take $\pi\approx3.14$, then $A\approx144\times3.14 = 452.16$ $cm^{2}$.

Answer:

$144\pi$ $cm^{2}$ (or approximately $452.16$ $cm^{2}$ if $\pi\approx3.14$)