find the area of the circle given c=4r give your answer in terms r

Answer 1

The formula for the circumference of a circle is given by C = 2πr, where r is the radius of the circle.

Given that c = 4r, we can substitute this value into the formula for the circumference of a circle:

4r = 2πr

Dividing by 2r on both sides:

2 = π

Therefore, the area of the circle can be found using the formula A = πr^2:

A = πr^2 = (2)^2 = 4π

So, the area of the circle is 4π square units.