Question

The circumference of circle A is three times the circumference of circle B. Which statement about the areas of the circles is true?

The area of circle A is three times the area of circle B.
It depends on the value of π.
It depends on the actual diameters of the circles.
The area of circle A is nine times the area of circle B.

Answer 1

Answer: the area of circle A is 9 times greater than the area of circle B

Explanation:

Answer 2

The area of circle A is nine times the area of circle B.

c1:

c=2*pi*r

so imagining r = 3 then, c=6pi

area=pi*r^2 => 9pi

c2:

so imagining r = 9 then, c=18pi

area=pi*r^2 => 81pi

81/9 = 9 so the answer is:

The area of circle A is nine times the area of circle B.