Question

The equation for a circle is (x+8)2+(y−12)2=25

a. What is the coordinate of the center of the circle?

b. What is the radius of the circle?

please give me an original response. show work for credit, try to summarize. thank you very much.

Answer 1

[AI-generated answer — Bot GPT 3.5]

a. The coordinate of the center of the circle is (-8, 12). This can be determined by setting the terms inside the parentheses equal to zero in the equation of the circle.

b. The radius of the circle is 5. This can be determined by taking the square root of the constant term in the equation of the circle. In this case, the constant term is 25, so the radius is √25 = 5.