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What is the radius of a circle whose circumference is #16π#?

Answer 1

Jayden Jackson

#8#

The circumference of a circle is equal to #pi#, which is a number #~~3.14#, multiplied by the diameter of the circle.

Therefore, #C=pid#.

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

#16pi=pid#

We can divide both sides by #pi# 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#

#color(red)(r=8#

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

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Answer 2

Mason Adams

The radius of the circle is 8 units.

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