Question

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

Answer 1

Given the circumference, C, of a circle;

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

Thus, the area, A is;

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

ANSWER:

`A=1387.26mm^2`