Given center C and a point P on a circle, find its equation. C(-2, 7) and P(1, 11)
(x - 1)2 + (y - 11)2 = 5
(x + 2)2 + (y - 7)2 = 5
(x - 1)2 + (y - 11)2 = 25
(x + 2)2 + (y - 7)2 = 25
okayyy what so tf is the answer
The answer is D. The last one.
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jessica!! did you get the answer?
To find the equation of a circle given its center and a point on the circle, you can use the distance formula. The distance between the center of the circle, C(x1, y1), and a point on the circle, P(x2, y2), is equal to the radius of the circle.
In this case, the center of the circle is C(-2, 7) and the point on the circle is P(1, 11).
To find the distance between the two points, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = √((1 - (-2))^2 + (11 - 7)^2)
= √((3)^2 + (4)^2)
= √(9 + 16)
= √25
= 5
The distance between the center and the point is 5, which means the radius of the circle is 5.
Now we can write the equation of the circle using the center and the radius. The standard form of the equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
Substituting the given values:
(x - (-2))^2 + (y - 7)^2 = 5^2
(x + 2)^2 + (y - 7)^2 = 25
Therefore, the equation of the circle is (x + 2)^2 + (y - 7)^2 = 25.
Just like in your previous post, the equation must start with
(x+2)^2 + (y-7)^2 = r^2
the 2nd and 4th have that, so the other two are wrong
sub in (1,11) which one of the two is correct