Question

The circumference of a circle is 15Picentimeters. What is the area of the circle in terms PIA: 7.5piB: 15Pi C; 56.25PiD:225PI

Answer 1

Option C is correct.

Area of the circle = 56.25pi

Step-by-step explanation

The circumference of a circle is given as

Circumference = 2πr

where

π = pi

r = radius = ?

Circumference = 15pi

Circumference = 2πr

15pi = 2 (pi) (r)

15 = 2r

We can rewrite this as

2r = 15

Divide both sides by 2

(2r/2) = (15/2)

r = 7.5 cm

The area of a circle is given as

Area = πr²

Area = (pi) (7.5)²

Area = (pi) (56.25)

Area = 56.25 cm²

Hope this Helps!!!