Question

Persevere with Problems Analyze how the circumference of a circle would change if the diameter was doubled. Provide an example to support your explanation.

Answer 1

Circumference of a circle . Girth

Circumference C= π•D

Then if D'=2D

New Circumference C'= π•2D = 2•π•D

Circumference is doubled, if diameter is doubled

EXAMPLE

Suppose D= 5 cm

Then C= π•5 = 15.70

If D'= 2•5=10 cm

Then C'= π•10= 31.415

Now divide C'/C = 31.415/15.70 = 2.00