Question

Find the area, to the nearest hundredth, of the circle with a circumference of 132 millimeters. Use 3.14 for π.

Answer 1

Solution:

Given the circumference, C, of a circle;

$\begin{gathered} C=2\pi r \\ \\ C=132mm,\pi=3.14 \\ \\ r=\frac{C}{2\pi} \\ \\ r=\frac{132}{2(3.14)}mm \\ \\ \end{gathered}$

Thus, the area, A is;

$\begin{gathered} A=\pi r^2 \\ \\ A=3.14(\frac{132}{6.28})^2 \\ \\ A=1387.26mm^2 \end{gathered}$

ANSWER:

$A=1387.26mm^2$