Question

Two circles are concentric if they have the same center.

On a coordinate plane, a circle has center (4, 6) and has a radius of 2 units.


Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

Answer 1

B; (x – 4)2 + (y – 6)2 = 16

Explanation:

correct on edge

Answer 2

9514 1404 393

Answer:

(b) (x – 4)^2 + (y – 6)^2 = 16

Explanation:

The equation for a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

You want the equation for a circle with center (4, 6) and radius 4. That equation is ...

(x -4)^2 +(y -6)^2 = 16