(x + 9)^2 + ( y + 5)^2 = 64 = 8^2
This is in the Pythagorean form of a^2 + b^2 = r^2
The displacement of 'x' is '-9' and the displacement of 'y' is '-5'
Hence the centre as ( x,y) is (-9, -5)
The radius is 'r at '8 units'.
Equation of circle: x^2 +y^2 -4x -6y -3 = 0 Completing the squares: (x-2)^2 +(y-3)^2 = 16 square units Therefore center of circle is at (2, 3) and its radius is 4 units
Equation: x^2 + y^2 +10x -14y +10 = 0 Completing the squares: (x+5)^2 + (y-7) -25-49 +10 = 0 So: (x+5)^2 + (y-7) = 64 Therfore the circle's centre is at (-5, 7) and its radius is 8
Equation of circle: x^2 +y^2 +6x +10y -2 = 0 Completing the squares: (x+3)^2 +(y+5)^2 = 36 Radius of circle: 6 Center of circle: (-3, -5) Distance from (-2, 3) to (-3, -5) is sq rt of 65 which is hypotenuse of a right triangle Using Pythagoras' theorem: square root of 65^2 -6^2 = 29 Therefore length of tangent line is the square root of 29 Note that the tangent line of any circle always meets its radius at right angles which is 90 degrees.
Circle equation: x^2 -4x +y^2 -6y = 4 Completing the squares: (x-2)^2 +(y-3)^2 = 17 Point of contact: (6, 4) Center of circle: (2, 3) Slope of radius: 1/4 Slope of tangent line: -4 Tangent equation: y-4 = -4(x-6) => y = -4x+28 Tangent line equation in its general form: 4x+y-28 = 0
3x^2 + 3y^2 = 75 Divide both sides by '3' Hence x^2 + y^2 = 25 x^2 + y^2 = 5^2 In the Pythagorean Geometry The circle equation is x^32 + y^2 = r^2 Hence 5^2 = r^2 Hence r = 5 (The radius)
That's the equation of a circle with its center at the origin and a radius of 8.
Centre = (0,0), the origin; radius = 11
x2+y2+4x+2y+3=0(x+2)2 + (Y+2.5)2 = 3This is the equation of circle with center at (-2,-2.5) with radius 3.5
It is the equation of a circle with radius of 6 and its center at the origin.
Without an equality sign it can't be considered to be an equation but in general the equation of a circle whose centre is at (a, b) and radius is r is:- (x-a)^2+(y-b)^2 = r^2
The centre is (3,-1) and the radius is sqrt(10).
Radius = 1111
Type your answer here. Find the radius for a circle with the equation x2 plus y2 equals 9? ..
Equation of a circle centre the origin is: x2 + y2 = radius2 ⇒ radius = √9 = 3.
If that equals 16 then the radius is 4
If that means = 36 then then the radius of the circle is 6 units
x^2+y^2=36