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

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

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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

Approved by eNotes Editorial Team

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.

Approved by eNotes Editorial Team