Question

The radius of circle is doubled, then what is the change in the circumference

Answer 1

Step-by-step explanation:

Given:-

The radius of circle is doubled

To find:-

What is the change in the circumference ?

Solution:-

Let the radius of a circle be r units

Then, the circumference of the circle = 2πr units

C1= 2πr units

If the radius is doubled then the new radius of the circle = 2×r = 2r units

Circumference of the circle = 2(π)(2r ) units

=> 4πr units

C2 = 4πr units

=> C2= 2(2πr)

=> C2 = 2 C1

=> C2 = 2× Original Circumference

=> C2 = twice the Original Circumference

Answer:-

If the radius is doubled then the circumference is also doubled

i.e.The new Circumference is twice the original Circumference of the circle.

Used formulae:-

• circumference of the circle = 2πr units
• r = radius
• π=22/7