A circle has a circumference of 24pi centimeters. If the radius of the circle is multiplied by 6, what will be the circumference of the new circle?

A. 98pi cm

B. 144pi cm

C. 282pi cm

D. 542pi cm

Answer:144pi cm

Step-by-step explanation:

Initial circumference=24pi

But circumference=2 x pi x radius (r)

24pi=2 x pi x r

Divide both sides by 2pi

24pi ➗ 2pi = (2 x pi x r) ➗ 2pi

12=r

radius=12

Radius multiplied by 6

6 x radius

6 x 12=72

New radius=72cm

New circumference=2 x pi x 72

New circumference=144pi