Centre = (4, -3)
Radius2 = (4 + 2)2 + (-3 + 7)2 = 36 + 16 = 52
Equation = (x - 4)2 + (y + 3)2 = 52
or x2 - 8x + y2 + 6x = 27
a diameter
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.
To draw a flowchart for finding the equation of a circle passing through three given points, start by defining the three points as ( A(x_1, y_1) ), ( B(x_2, y_2) ), and ( C(x_3, y_3) ). Next, set up the general equation of a circle ( (x - h)^2 + (y - k)^2 = r^2 ) and derive a system of equations by substituting the coordinates of the points into this equation. Solve the resulting system of equations for the center coordinates ( (h, k) ) and the radius ( r ), and finally, express the equation of the circle in standard form.
A concentric circle.
concentric
a diameter
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.
Equation of circle: (x-3)^2 +(y+5)^2 = 13
A concentric circle.
Concentric Circles?
It is (x + 2)^2 + (y - 1)^2 = 4
A concentric circle looks like a bullseye or a target. It is a big circle with littler circles inside of it with the same centerponit
This is the diameter of the circle.
Concentric Circle
Points: (2, -3) and (-2, 0) Slope: -3/4 Equation: y = -0.75x-1.5
concentric
x2 + (y - b)2 = b2 or, equivalently, x2 + y2 - 2by = 0