Which of the following equations matches the function shown above? A. y= 1/2 sin (x) B. y= sin (2x) C. y= sin (1/4 x) D. y= sin (1/2 x)

They are similar for their radii, and perimeters have the  same ratio: 2

Step-by-step explanation:

The similarity of circles is proved, when we can compare the ratio, between the two radii and the two perimeter and it is the same.

2. The Circle X, has a radius of 6 and the circle Y has the radius of 3.

So let's do it:

3. Now let's check the Perimeters:

4. In addition to this, we can do this Geometrically, by inserting the Circle Y within the Circle X, and if dilate by the scale factor of 2 we'll have these two circumferences coincide.