Find the area of a circle C=4Pi. Give Your answer in terms of Pi
The formula for the area of a circle is A = πr², where r is the radius of the circle.
To find the area when C = 4π, we need to find the radius first. The formula for the circumference of a circle is C = 2πr.
Given C = 4π, we can substitute this value in the circumference formula:
4π = 2πr
Dividing both sides of the equation by 2π:
r = 2
Now that we have the radius, we can calculate the area using the formula A = πr²:
A = π(2)²
A = π(4)
A = 4π
So, the area of the circle is 4π.