Bunuel wrote:

The radius of circle A is r, and the radius of circle B is \(\frac{3}{4}r\). What is the ratio of the area of circle A to the area of circle B ?

A. 1 to 4

B. 3 to 4

C. 4 to 3

D. 9 to 16

E. 16 to 9

Let radius of \(A = 4\)

Radius of \(B =\frac{3}{4}A=(\frac{3}{4}*4)=3\)

Area of A: \(\pi r^2=\pi 4^2=16\pi\)

Area of B: \(\pi r^2=\pi 3^2=9\pi\)

Ratio of the area of circle A to the area of circle B:

\(\frac{A}{B}=\frac{16 \pi}{9 \pi}=\frac{16}{9}=(16 : 9)\)

Answer E

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In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"