Question

The circumference of a circle is 31 in. What is the area of the circle?

Answer 1

Answer: 76.35in²

Step-by-step explanation:

Circumference of a circle = 2πr or πd , while area is πr².

To find the area we must first of all find the radius if the circle using any of the formula above.we then equate 31 to 2πr and then solve for r.

31 = 2πr , where π = 3.142 or 22/7

r = 31/2 x 3.142

= 31 /6.284

= 4.93in

To find the area, substitute for r in the formula above,

Area = πr²

= 3.142 x 4.93²

= 3.142 x 24.30

= 76.35in².