The circumference of a circle is equal to 72 pi. Find the radius of this circle
The circumference of a circle with a radius equal to r is given by the expression 2*pi*r.
Here, we are given the circumference and have to find the radius. Let the radius be r
2*pi*r = 72*pi
=> r = 72*pi / 2*pi
=> r = 36
The required radius is 36
We will use the the circumference formula to calculate the radius.
We know that:
C = 2*r * pi where c is the circumference and r is the radius.
Now we will substitute with c = 72 pi.
==> 72*pi = 2*r*pi
we will divide by pi.
==> 72 = 2r
Now we will divide by 2.
==> r = 72/2 = 36.
Then, the radius of the circle is 36 units.