Find the circumference of the circle if the area is 36 m^2.

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

Here, we have the area = 36 m^2

pi*r^2 = 36

=> r = sqrt(36/pi)

The circumference is 2*pi*sqrt (36/ pi)

=> 2*pi*6/ sqrt pi

=> 12*sqrt pi

The required circumference is 12*sqrt pi

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

Given the area of the circle is 36 m^2

We need to find the circumference.

First we need to determine the value of the radius.

We will use the area of a circle formula to calculate the radius.

We know that: A = r^2 * pi = 36

Now we will divide by pi.

==> r^2 = 36/pi

==> r= 3.39 m ( approx.)

Now we will calculate the circumference.

We know that: C = 2*pi*r

==> c = 2*3.14* 3.39 = 21.27 m (approx.)

Then, the circumference of the circle is 21.27 m.

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