Question

What is the radius, in centimeters, of a circle that has a circumference of 16π?

Answer 1

Answer:

8

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  =  π d .

We know that the circumference,  C , is  16 π , so we can say that:

16 π  =  π d

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:  2 r  =  d

2 r  =  16

r  =  8

Note that since  2 r  =  d , the equation  C  =  2 π r  holds and can be used in place of C  =  π d .

Answer 2

Answer: The radius equals 8cm