Question #5989d

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Answer 1 · 2017-03-09T16:27:58

The diameter of the circle is #16#.

The formula for circumference of a circle is:

#C=2pir#, where #C=#circumference, and #r=#radius.

Since #2r=d#, where #d=#diameter, we can write:

#C=pid#

We know the circumference, hence:

#16pi=pid#

Cancel the same terms of either side.

#16cancelpi=cancelpid#

#16=d#

The diameter of the circle is #16#.