If the radius of a circle is halved, how does the circumference change? (2022) 2

If the radius of a circle is halved, how does the circumference change? (2022) 2022

If the radius of a circle is halved, how does the circumference change? (2022) 2022

Step 1: Understand the formula for the circumference of a circle, which is Circumference = 2πr, where r is the radius.
Step 2: Identify what happens when the radius is halved. If the original radius is r, the new radius will be r/2.
Step 3: Substitute the new radius into the circumference formula. The new circumference will be Circumference = 2π(r/2).
Step 4: Simplify the new circumference. 2π(r/2) equals πr.
Step 5: Compare the new circumference (πr) to the original circumference (2πr). Notice that πr is half of 2πr.
Step 6: Conclude that when the radius is halved, the circumference is also halved.

Circumference of a Circle – Understanding the formula for the circumference of a circle (C = 2πr) and how changes in the radius affect it.