The area of a circle is given as pi*r^2.
Here the area is 25*pi
pi*r^2 = 25*pi
=> r = sqrt 25
=> r = 5
Now the circumference of a circle is 2*pi*r = 2*pi*5 = 10*pi.
The required circumference is 10pi or 31.42 units.
Given the area of the circle is 25pi.
But, we know that the formula of the area of a circle is given by:
A = r^2 * pi
We will substitute:
==> A = r^2 * pi = 25*pi
We will divide by pi.
==> r^2 = 25
==> r= 5
Then, the radius of the circle is r= 5.
Now we will calculate the circumference.
We know that:
C = 2*r*pi
==> C = 2* 5 * pi = 10pi = 31.42 ( approx.)
Then, the circumference of the circle is 10pi = 31.42 units ( approx.)
Area of the circle = pr^2.
Given the area = 25pi.
=> pir^2 = 25pi.
=> r^2 = 25pi/pi = 25.
=> r = sqrt25 = 5.
Therefore the radius of the given circle = 5 units.
Therefore the circumference of the given circle = 2pir = 2pi* 5 = 10pi = 31.42 units approximately.