Question
What is the equation of a circle with center (–7, –2) and radius 4?
Answers
GPT 3.5
The equation of a circle with center (h, k) and radius r is given by the formula:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (-7, -2) and the radius is 4.
So, the equation of the circle is:
(x - (-7))^2 + (y - (-2))^2 = 4^2
Simplifying this equation:
(x + 7)^2 + (y + 2)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (-7, -2) and the radius is 4.
So, the equation of the circle is:
(x - (-7))^2 + (y - (-2))^2 = 4^2
Simplifying this equation:
(x + 7)^2 + (y + 2)^2 = 16