Find the area of a circle given C= 4pie

3 answers

To find the area of a circle when given its circumference, you can use the formula:

Circumference = 2 * π * radius
4π = 2π * radius
radius = 4/2 = 2

Next, use the formula for the area of a circle:

Area = π * radius^2
Area = π * 2^2
Area = 4π

Therefore, the area of the circle is 4π square units.
C=12pie
Given that C = 12π, we can use the same method as before to find the area of the circle.

Circumference = 2 * π * radius
12π = 2π * radius
radius = 12π / 2π
radius = 6

Next, use the formula for the area of a circle:

Area = π * radius^2
Area = π * 6^2
Area = 36π

Therefore, the area of the circle is 36π square units.