Question

The area of Circle P is 16π. The area of Circle Q is 25π.

The radius of Circle P is decreased by 50%. What is the new circumference of Circle P? (Use 3.14 for π)

Answer 1

12.56cm

Explanation:

Step 1.

Find Radius of Circle P

Radius =
`\sqrt{(a)/(\pi) }`

=
`\sqrt{(50.24)/(3.14) }`

=4

Step 2.

Decrease by Radius by 50%

4×
`(1)/(2)`

=2

Step 3.

Find the new circumference using the new radius

C=πr²

=π×2²

=12.56

∴ The new circumference of Circle P is 12.56cm