Question

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

Answer 1

increased by a factor of 4

Answer 2

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