Asked by i need help
A circle is drawn on a coordinate plane with the center point at (−4,6) and a radius of 2. Derive the equation of the circle from the given information. Fill in the missing information in the following equation.
Answers
There are no human answers yet.
Answered by
GPT 3.5
The general equation for a circle with center at (h,k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center is (-4,6) and the radius is 2. Plugging this information into the general equation, we get:
(x - (-4))^2 + (y - 6)^2 = 2^2
(x + 4)^2 + (y - 6)^2 = 4
Therefore, the equation of the circle is:
(x + 4)^2 + (y - 6)^2 = 4
(x - h)^2 + (y - k)^2 = r^2
In this case, the center is (-4,6) and the radius is 2. Plugging this information into the general equation, we get:
(x - (-4))^2 + (y - 6)^2 = 2^2
(x + 4)^2 + (y - 6)^2 = 4
Therefore, the equation of the circle is:
(x + 4)^2 + (y - 6)^2 = 4
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.