Question

10.Find the approximated circumference of a circle whose area is 136.46

Answer 1

The area of a circle is given by the following formula:

`A=\pi r^2`

Where r is the radius.

We know the area of the circle, then we can replace it in the formula and find r:

`\begin{gathered} 136.46=\pi\cdot r^2 \\ r^2=(136.46)/(\pi) \\ r^2=43.44 \\ r=\sqrt[]{43.44} \\ r=6.59 \end{gathered}`

The circumference of a circle is given by the formula:

`C=2\pi r`

By replacing the r-value that we found, we can solve for C:

`\begin{gathered} C=2\cdot\pi\cdot6.59 \\ C=41.41 \end{gathered}`

The approximated circumference of the circle is 41.41