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

Mathematics

1 answer:

kupik [55]4 years ago

5 0

Answer:

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

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