The area of a circle is 16π cm squared. Find the diameter of the circle.
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We can calculate the area of a circle using the following formula:
A = pi x r2
The area we are given is 16pi. Therefore, we can divide both sides by pi. So,
16pi = pi x r2
becomes
16 = r2
We can squareroot both sides to calculate the value of r.
sqrt16 = sqrt r2
Therefore r = 4
We can then use the formula d = 2r to calculate the diameter.
Therefore the diameter of the circle is 2x4 = 8cm.
