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If you double the radius of a circle, you also double its circumference.

It's now 200% of what it was originally ... an increase of 100% .

See rigorous proof below.

===========================================

Let radius = r

Circumference = 2πr

Double the radius:

New radius = 2r

New circumference = 4πr

Increase in circumference = 4πr - 2πr = 2πr = (2πr/2πr) X 100%

=100%

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Q: Will the circumference increase by 200 percent if you double the radius?
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