Question

If the diameter of a circle is doubled, what will happen to its circumference?

Answer 1

Answer:

When the diameter is doubled, the circumference is doubled.

Step-by-step explanation:

Let diameter = 2

d=2=2r

∴r=1

Circumference = 2πr=2π(1)=2π

Let diameter = 4 (double)

d=4=2r

∴r=2

Circumference = 2πr=2π(2)=4π

We can see that when the diameter is doubled, the circumference is doubled.

Answer 2

Answer:

It will also double

Step-by-step explanation:

To prove this let me take an example,

Diameter = 14cm

Circumference = 14 *22/7 ( 2r means 2 times radius that is diameter)

Circumference = 44cm

Now lets double the diameter,

Diameter =28cm

Circumference = 28 * 22/7

Circumference = 88cm

44cm + 44cm =88cm

So therfore if we doubke the diameter the Circumference will also double itself