If C = 12n, what is the area of the circle? (1 point)
• 12n
• 36n
• 144n
• 24n
The area of a circle is given by the formula A = πr^2, where r is the radius.
Given that C = 2πr = 12n, we can solve for the radius:
2πr = 12n
r = 12n / 2π
r = 6n / π
Now we can substitute this value into the formula for the area of a circle:
A = π(6n / π)^2
A = π(36n^2 / π^2)
A = 36n^2 / π
Therefore, the area of the circle is 36n^2 / π, which is equivalent to 144n since π is a constant.
So, the correct answer is:
• 144n