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

Question

asked Dec 28, 2023 91.5k views

1 Answer

Edison Trutwein · Answer 1 · 2024-01-04T09:28:45+0000

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