If the circumference of a circle is 12pi, what is the area?
Given the area of a circle is 12pi.
Then we will calculate the radius using the circumference formula.
==> C = 2* pi *r = 12 pi
==> r = 12pi/2pi = 6
Now we will calculate the area of the circle.
==> We know that A= r^2 * pi
==> A = 6^2 * pi = 36 pi = 113.1 ( approx)
Then the area of the circle whose circumference 12pi = 36pi = 113.1 square units.
The circumference of a triangle is given by 2*pi*r where r is the radius and the area is pi*r^2.
Here circumference = 12*pi = 2*pi*r
=> r = 6
The area = pi*r^2 = 36*pi
The area of the circle is 36*pi
HERE IT IS GIVEN THAT,
CIRCUMFERENCE of the circle = 12pi
Now we can find the radius of the circle by using the formula,
circumference ,(C) =2 x pi x r
We can rewrite it as,
==> 12 x pi = 2 x pi x r
==> r = 12/2
==> r = 6 units
now, we have the radius of the circle(r) = 6 units
WE CAN FIND THE AREA OF THE CIRCLE BY USING THE FORMULA,
area of the circle(a) = pi x r^2
Therefore, ==> a = pi x 6^2
==> a = 36pi
Hence, the area of the circle is 36pi. Which is equal to (36 x 22/7)= 113.14 .