Question

The circumference of circle A is 3 times greater than the circumference of circle B. What is the relationship between the areas of the circles? (Multiple choice)

Answer 1

A.The area of circle A is 9 times greater than the area of circle B.

B. The area of circle B is 9 times greater than the area of circle A.

C. The area of circle A is 3 times greater than the area of circle B.

D. The area of circle B is 3 times greater than the area of circle A.

Answer 2

circumference of circle B=c
\[c=2 \pi r,area ~a=\pi r^2=\pi \left( \frac{ c }{ 2\pi } \right)^2\]
for A
circumference=3c
\[area=\pi \left( \frac{ 3c }{ 2 \pi } \right)^2=9~\pi \left( \frac{ c }{ 2\pi } \right)^2=9 ~\times~area~of~circle~B\]

Answer 3

So A is the answer?