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#33715

circles

area

geometry

hard

100 sec

Circle R has a radius of $x$ . Circle S has a radius of $k x$ , where $k$ is a positive constant. If the area of circle S is $A_{S}$ and the area of circle R is $A_{R}$ , which of the following expresses $A_{S}$ in terms of $A_{R}$ and $k$ ?

A.

$A_{S} = k A_{R}$

B.

$A_{S} = k^{2} A_{R}$

C.

$A_{S} = k A_{R}$

D.

$A_{S} = (k + 1) A_{R}$