Question

The circumference of a circle is 15 centimeters what is the area of the circle in terms of pie

Answer 1

Answer: The area of the circle= 56.25/π

Step-by-step explanation: With the circumference of the circle already given, we can work backwards to determine the value of the radius.

The circumference of a circle is calculated as

Circumference= 2πr

Since the circumference is already known, we can now express it as;

15 = 2πr

Divide both sides of the equation by 2

7.5 = πr

If we cross multiply we now have

7.5/π = r

Having calculated the radius as 7.5/π, the area can be derived as

Area d a circle = πr²

Area of a circle = π x (7.5/π)²

Area of a circle = π x (56.25/π²)

Area of a circle = 56.25/π

The area of the circle in terms of pi is given as 56.25/π