# What is the circumference of the circle whose area is 24 cm^2.

### 3 Answers | Add Yours

The area of a circle with radius r is given by pi*r^2. The circumference is given by 2*pi*r.

We have the area of the circle given as 24 cm^2.

The radius is sqrt [24 / pi]

The circumference is 2*pi*sqrt [24 / pi]

=> 4* sqrt 6 * sqrt pi

The required result is **4*sqrt 6 * sqrt pi**

Given the area of the circle is 24 cm^2

Then, we will use the area of the circle formula to find the radius.

We know that:

A = r^2 * pi where r is the radius.

==> 24 = r^2 * pi

==> r^2 = 24/pi = 7.64

==> r= 2.76 cm ( approx.)

Now we will calculate the circumference.

We know that:

C = 2*r * pi = 2* 2.76 * pi = 17.37

**Then the circumference of the circle is C = 17.37 cm.**

Area of the circle is 24 cm^2.

We have to find the circumference of the circle.

We use the formula for area A and circumference C:

A = pi*r^2 and

C = 2pi*r, where r is the radius of the circle.

So pir^2 = 24 cm^2 given.

r^2 = (24/pi). So r = (24/p)^(1/2).

We put r = (24/pi)^(1/2) in C = 2pi*r and get:

So C = 2pi*r. So C = 2pi* (24/pi)^(1/2) =17.3664 cm nearly.

**Therefore the circumference = 17. 3664 cm.**