Question

The area of a circle is 167pi. What is the diameter of the circle?

Answer 1

The area of a circle is given by:

`\begin{gathered} A=\pi r^2 \\ 167\pi=\pi r^2 \\ r=\pm\sqrt[]{167} \\ r=\pm\sqrt[]{167} \\ so\colon \\ r=\sqrt[]{167} \end{gathered}`

since the diameter is twice the radius:

`d=2\sqrt[]{167}\approx25.846`