Question

On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii. Which equations represent concentric circles along with the circle shown in the graph? Check all that apply. x2 + y2 = 25 (x – 8)² + (y – 9)² = 3 (x – 8)² + (y – 9)² = 14 (x – 8)² + (y + 9)² = 3 (x + 8)² + (y + 9)² = 25 (x + 9)² + (y + 8)² = 3

Answer 1

B C

Explanation:

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Answer 2

• (x – 8)² + (y – 9)² = 3
• (x – 8)² + (y – 9)² = 14

Explanation:

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

(x -h)² +(y -k)² = r²

Circles concentric with one having its center at (8, 9) will have equations of the form ...

(x -8)² +(y -9)² = r²

The offered answer choices that have this form are ...

• (x – 8)² + (y – 9)² = 3
• (x – 8)² + (y – 9)² = 14