Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (-3, 5) and a radius of 24. What steps will help show that circle A is
similar to circle B? (5 points)
O a
Translate circle A using the rule (x+3, y-1).
O b
Rotate circle A 180° about the center.
Oc
Dilate circle A by a scale factor of 4.
Od
Reflect circle A over the line y=x.

Respuesta :

Dilate circle A by a scale factor of 4. Then the correct option is C.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Circle A has a center of (0, 4) and a radius of 6. Then the equation of the circle A will be

(x)² + (y − 4)² = 6²

Circle B has a center of (-3, 5) and a radius of 24. Then the equation of the circle A will be

(x + 3)² + (y − 5)² = 24²

The graph of circle A and circle B is given below.

Dilate circle A by a scale factor of 4.

Learn more about the equation of a circle here:

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