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Circumference = pi x diameter so if the radius is 5 then the diameter is 10

Circumference = pi x 10 = 31.415

If we triple the radius to 15, then the diameter is 30, so

Circumference = pi x 30 = 94.245

Which looks like triple the first circumference. So if the radius is tripled, the circumference is also tripled.

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โˆ™ 2010-02-06 02:23:44
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Q: If the radius of a circle is tripled what happens to the circumference?
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If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.


If you triple the radius of a circle how is its circumference affected?

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The formula for the area of a circle is, A = πr2 If the area is tripled then the larger circle has an area of A2 = πR2 (where R is the new radius) But, πR2 = 3πr2 : R2 = 3r2 : R = r√3 The circumference of the original circle was 2πr. The circumference of the larger circle is 2πR = 2πr√3 Therefore, if the area is tripled, then the circumference increases by √3.


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