The circumference of a circle is 314 units. What is the area?

7850 square units

Step-by-step explanation:

According to the question;

Circumference of a circle is 314 units;

We are required to find the area of the circle;

First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi * D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter : pi

Taking pi to be 3.14

Then;

Diameter = 314 units : 3.14

= 100 units

But, radius = Diameter : 2

= 100 units : 2

= 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi*r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 * 50²

= 7850 square units

Thus, the area of the circle is 7850 square units