Question

Circle X has radius r X = 6 units and circumference C X = 12 π units.

Answer 1

Writing the circumference of circle X and circle Y in ratio
$C_{Y}: C_{X}$
$12 \pi :6 \pi$
$2:1$

Circumference of Y is twice of circumference of X, hence the radius of circle Y is twice of circle X

Correct answer: option 1)

Answer 2

Answer:

Correct choice is 4)

Step-by-step explanation:

Circle X has radius $r_X = 6$ units and circumference $C_X=12\pi$ units.

Circle Y has radius $r_Y$ units and circumference $C_Y = 6$ units.

Then

$r_X\ -\ C_X,\\ \\r_Y\ -\ C_Y.$

Mathematically, you can write a proportion:

$\dfrac{r_X}{r_Y}=\dfrac{C_X}{C_Y},\\ \\\dfrac{6}{r_Y}=\dfrac{12\pi}{6},\\ \\r_Y=\dfrac{6\cdot 6}{12\pi}=\dfrac{3}{\pi}\ units.$