Question

Find the exact area of la circle if its circumference is 367 cm.

Answer 1

Given the circumference to be 367 cm.

Recall that the formula for the circumference of a circle is given as;

`\begin{gathered} C=2\pi r \\ \Rightarrow367=2\pi r \end{gathered}`

If we make r the subject of the formula,

`r=(367)/(2\pi)`

The area of a circle is given as;

`\begin{gathered} A=\pi r^2 \\ \Rightarrow\pi((367)/(2\pi))^2=(\pi)/(4\pi^2)(367)^2=10718.21 \end{gathered}`