Question

Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?

Answer 1

The scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Step-by-step explanation:

To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.

Circle Y:
Center: (2,3)
Radius: 4

Circle Z:
Center: (2,-3)
Radius: 10

The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.

Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.