If the circumference of a circle is 16 pi, what is its area ?
A = pi * 8^2
c = 2rpi
16pi = 2rpi
16pi/2pi =r
8 = r
A = r^2 pi
A = (8)^2 pi
A = 64pi
To find the area of a circle given its circumference, we can use the formula:
A = (C^2) / (4π)
Here, A represents the area and C represents the circumference of the circle.
In this case, the circumference of the circle is given as 16π. Plugging this value into our formula, we have:
A = (16π^2) / (4π)
Now, let's simplify the equation:
A = 4π^2 / π
Since π is a common factor in the numerator and the denominator, it cancels out:
A = 4π
Therefore, the area of the given circle is 4π.