If C=12π , what is the area of the circle? (1 point)
Responses
12π
12 pi
36π
36 pi
144π
144 pi
24π
If C = 12π, then the circumference of the circle is 12π units.
We know that the formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Since C = 12π, we can set up the equation 12π = 2πr and solve for r.
Dividing both sides of the equation by 2π gives us r = 6.
The formula for the area of a circle is A = πr^2.
Substituting r = 6 into the formula gives us A = π(6)^2 = 36π.
Therefore, the area of the circle is 36π or 36 pi.
So the correct answer is 36π.