End points: (10, -4) and (2, 2)
Midpoint: (6, -1)
Distance from (6, -1) to (10, -4) = 5
Distance from (6, -1) to (2, 2) = 5
Equation of the circle: (x-6)^2 +(y+1)^2 = 25
The mid point of the diameter is the circle's centre: Mid point of (2, -3) and (8, 7) is ((2 + 8)/2, (-3 + 7)/2) = (5, 2) The radius is half the diameter, but as the equation for a circle requires the radius squared: radius = diameter/2 → radius² = diameter² / 4 Diameter (and diameter²) can be found using Pythagoras: diameter² = change_in_x² + change_in_y² = (8 - 2)² + (7 - -3)² = 6² + 10² = 136 → radius² = 136/4 = 34 Circle with centre (X, Y) and radius r has equation: (x - X)² + (y - Y)² = r² → (x - 5)² + (y - 2)² = 34 → x² -10x + 25 + y² - 4y + 4 = 34 → x² + y² - 10x - 4x - 5 = 0
The diameter.
They are the coordinates of x and y to plot out straight lines or curves on the Cartesian plane
A pair of two points (2D) or 3 points (3D) written as (x,y) or (x,y,z).
Points: (13, 17) and (19, 23) Midpoint: (16, 20) Slope of required equation: 5/4 Its equation: 4y = 5x or as y = 1.25x Its distance from (0, 0) to (16, 20) = 4 times sq rt 41
End points: (10, -4) and (2, 2) Midpoint: (6, -1) which is the centre of the circle Distance from (6, -1) to any of its end points = 5 which is the radius Therefore the Cartesian equation is: (x-6)^2 +(y+1)^2 = 25
End points: (8, 7) and (2, -3) Midpoint: (5, 2) which is the center of the circle Radius: square root of 34 Equation of the circle: (x-5)^2 +(y-2)^2 = 34
Diameter end points: (2, -3) and (8, 7) Centre of circle: (5, 2) Length of diameter: 2 times square root of 34 Equation: (x-5)^2+(y-2)^2 = 34 which in effect is the radius squared Area in square units: 34*pi
Diameter endpoint's: (2, -3) and (8, 7) Midpoint: (5, 2) which is the centre of the circle Distance from (5, 2) to (2, -3) or (8, 7) = square root of 34 which is the radius Equation of the circle: (x-5)^2 +(y-2)^2 = 34
The diameter of the circle.
Points: (5, 0) and (3, 4) and (-5, 0) Equation works out as: x^2+y^2 = 25 Radius: 5 units in length Centre of circle is at the point of origin (0, 0) on the Cartesian plane.
The points where a diameter intersects the circle are its endpoints.
The equation is y = 2
It is a chord and the largest chord in a circle is its diameter
It is the circle's diameter
Points: (2, -3) and (8, 7) Centre: (8+2)/2 and (7-3)/2 = (5, 2) Radius: (8-5)2+(7-2)2 = 34 and the square root of this is the radius Equation: (x-5)2+(y-2)2 = 34
It works out that the circle's centre is at (3, -2) and its radius is 5 on the Cartesian plane.