Question

If circle R, of area 4 square inches, radius of circle S is twice of circle R, then the area of circle S, in square inches, is

• A. 8
• B. $8\sqrt{2}$
• C. $16\sqrt{2}$
• D. 12
• E. 16

Answer 1

Answer: (E)

16

• Given that the radius of circle $S$ is equal to diameter of circle $R$
• Let the radius of circle $R$ be $r$ , given area is equal to $\pi r^2=4$
• So radius of circle $S$ is $2r$
• Therefore the area of circle $S$ is $\pi {\left(2r\right)}^2=4\times \pi r^2=4\times 4=16$