Question

What is the area of a circle with a circumference of 31.4Area-

Answer 1

The circumference of a circle is give by:

`C=2\pi r`

Plugging the value we have for the circunference we can find the radius:

`\begin{gathered} 31.4=2\pi r \\ r=(31.4)/(2\pi) \\ r=(15.7)/(\pi) \end{gathered}`

Now that we have the radius we remember that the area of a circle is:

`A=\pi r^2`

Plugging the value of r we have that:

`A=\pi((15.7)/(\pi))^2=78.46`

Therefore the area of the circle is 78.46