Step-by-step explanation:
The circumference of a circle is equal to
π, which is a number ≈3.14, multiplied by the diameter of the circle.
Therefore, C=πd.
We know that the circumference, C, is 16π, so we can say that:
16π=πd
We can divide both sides by π to see that 16=d.
We now know that the diameter of the circle is 16.
We also know that the diameter has twice the length of the radius.
In equation form: 2r=d
2r=16
r=8
Note that since 2r=d, the equation C=2πr holds and can be used in place of C=πd.