Find the area of the circle if it has a circumference of 40

127.39 square units

Step-by-step explanation:

We are given;

Circumference of the circle as 40 units

We are supposed to determine its area;

The circumference of a circle is given by;

Circumference = πD or 2πr, where D is the diameter and r is the radius

Thus;

40 = 2πr

πr = 20

r = 20/π

Area of a circle is given by;

A = πr²

but, r = 20/π

Hence;

Area = π * (20/π) ²

= π * 400/π²

= 400/π

Taking π to be 3.14

Area = 400 : 3.14

= 127.39 square units

Thus, the area of the circle is 127.39 square units