Question

the diameter of one circle is represented by 12x. the diameter of another circle is represented by 6x^{2}y. what is the ratio of the radii of the two circles? x:2y, 2:x^{3}y, 2x:y, 2:xy

Explanation:

Step1: Find radius of first circle

Radius \( r_1 = \frac{12x}{2} = 6x \)

Step2: Find radius of second circle

Radius \( r_2 = \frac{6x^2y}{2} = 3x^2y \)

Step3: Simplify ratio \( r_1:r_2 \)

\( 6x : 3x^2y = 2 : xy \)

Answer:

2 : xy