Help! Hurry! NO SPAM!!!! I will mark brainliest if you get it correct, and show your work. Identify the equation for the circle
with center (3, 7) that contains the point (9, 11).
2 answers:
Answer:
file below
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have the center (4, -3) and the point on the circle (9, -3).
The length of radius is equal to the distance between a center and an any point on a circle.
The formula of a distance between two points:
Answer:
(x + 3)^2 + (y + 7)^2 = 468
Explanation:
The general equation for a circle, where the centre is not the origin is;:
(x + a)^2 + (y + b)^2 = r^2
Substitute in our centre coordinates:
(x + 3)^2 + (y + 7)^2 = r^2
Substitute in our point coordinates:
(9 + 3)^2 + (11 + 7)^2 = r^2
Now we can solve for r^2
12^2 + 18^2 = r^2
r^2 = 468
Substituting this into our equation for the circle, we get:
(x + 3)^2 + (y + 7)^2 = 468
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