answersLogoWhite

0

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%

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran

Add your answer:

Earn +20 pts
Q: Will the circumference increase by 200 percent if you double the radius?
Write your answer...
Submit
Still have questions?
magnify glass
imp