Question

PLEASE HELP!!!

A circle is increased to have a circumference that is 4 times larger than the original. Which of the following options best describes the change in the radius of the original circle?

increased by a factor of 16
increased by a factor of 12
increased by a factor of 8
increased by a factor of 4

Answer 1

4 yw:)

Explanation:

Answer 2

Increased by a factor of 4

Explanation:

The original circumference is:

C1 = 2 * pi * r1

The new circumference is:

C2 = (2 * pi * r2)

"circumference that is 4 times larger than the original"

(2 * pi * r2) = 4 (2 * pi * r1)

Rewriting:

r2 = 4r1

Answer:

The radius of the original circle is:

increased by a factor of 4

Hope this helps :)