Question

The circumference of a circle is 62 ∏ cm. The area of the circle is ____ ∏ cm^2.

Answer 1

From the value of the circumference, we can calculate the radius. And then, from the radius we can calculate the area:

The equation for the circumference C is:

`\begin{gathered} C=2\pi\cdot r \\ 62\pi=2\pi\cdot r \\ r=(62\pi)/(2\pi) \\ r=31 \end{gathered}`

Now we can calculate the area A using the expression:

`\begin{gathered} A=\pi\cdot r^2 \\ A=\pi\cdot(31)^2 \\ A=\pi\cdot961 \\ A=961\pi \end{gathered}`

Answer: the area is A = 961*∏ cm^2