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
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.