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What is the tangent line equation of the circle 2x2 plus 2y2 -8x -5y -1 equals 0 at the point 1 -1 on its circumference?
Wiki User
∙ 6y ago
Circle equation: 2x^2 +2y^2 -8x -5y -1 = 0
Divide all terms by 2: x^2 +y^2 -4x -2.5y -0.5 = 0
Completing the squares: (x-2)^2 +(y-1.25)^2 = 6.0625
Center of circle: (2, 1.25)
Point of contact: (1, -1)
Slope of radius: 9/4
Slope of tangent line: -4/9
Tangent equation: y--1 = -4/9(x-1) => 9y = -4x -5
Tangent line equation in its general form: 4x+9y+5 = 0
Wiki User
∙ 6y ago
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What is the equation for a circle with its center at the origin and a tangent whose equation is y equals 7?
x2 + y2 = 49
What is the radius equation inside the circle x squared plus y squared -8x plus 4y equals 30 that meets the tangent line y equals x plus 4 on the Cartesian plane showing work?
Circle equation: x^2 +y^2 -8x +4y = 30 Tangent line equation: y = x+4 Centre of circle: (4, -2) Slope of radius: -1 Radius equation: y--2 = -1(x-4) => y = -x+2 Note that this proves that tangent of a circle is always at right angles to its radius
What is the tangent equation that touches the circle x2 -y2 -8x -16y -209 equals 0 at the point of 21 and 8 on the Cartesian plane?
Point of contact: (21, 8) Equation of circle: x^2 -y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) and its radius is 17 Slope of radius: 0 Slope of tangent: 0 Tangent equation of the circle: x = 21 meaning that the tangent line is parallel to the y axis and that the radius is parallel to the x axis.
What is the circumference of a circle when the diameter equals 56?
A circle's circumference equals PI times the circle's diameter. So, to find the circumference of a circle with a diameter of 56 we do the following:3.14159x 56___________________________175.92919YOUR ANSWER IS 176 (rounded)
Is c equals 2πr the same as c equals πr squared?
No. C = 2*pi*r is the equation representing the circumference of a circle. The area of a circle is equal to pi*(r^2).
What is the equation for a circle with its center at the origin and a tangent whose equation is y equals 7?
x2 + y2 = 49
What is the radius equation inside the circle x squared plus y squared -8x plus 4y equals 30 that meets the tangent line y equals x plus 4 on the Cartesian plane showing work?
Circle equation: x^2 +y^2 -8x +4y = 30 Tangent line equation: y = x+4 Centre of circle: (4, -2) Slope of radius: -1 Radius equation: y--2 = -1(x-4) => y = -x+2 Note that this proves that tangent of a circle is always at right angles to its radius
What is the tangent equation that touches the circle x2 -y2 -8x -16y -209 equals 0 at the point of 21 and 8 on the Cartesian plane?
Point of contact: (21, 8) Equation of circle: x^2 -y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) and its radius is 17 Slope of radius: 0 Slope of tangent: 0 Tangent equation of the circle: x = 21 meaning that the tangent line is parallel to the y axis and that the radius is parallel to the x axis.
Is c equals 2πr the same as c equals πr squared?
No. C = 2*pi*r is the equation representing the circumference of a circle. The area of a circle is equal to pi*(r^2).
What is the circumference of a circle when the diameter equals 56?
A circle's circumference equals PI times the circle's diameter. So, to find the circumference of a circle with a diameter of 56 we do the following:3.14159x 56___________________________175.92919YOUR ANSWER IS 176 (rounded)
What is the circumference of a circle if the radius is 12?
The circumference of a circle if the radius is 12 equals about 75.4
What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?
Circle equation: x^2 +y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) Radius of circle 17 Slope of radius: 0 Perpendicular tangent slope: 0 Tangent point of contact: (21, 8) Tangent equation: x = 21 passing through (21, 0)
Which equation could be used to find the circumference of a ball with a radius of 5 inches?
The circumference of a circle equals 2 times pi times the radius, in this case, about 31.42 inches.
What is the ratio of circumference of a circle to it's diameter?
The circumference of a circle equals pi times the diameter.
What does circumference and diameter of every circle?
The circumference divided by its diameter for any circle is equals pi.
Does circumference equals pi diameter?
Yes. Circumference (of a circle) is pi x the diameter of the circle.
What is the chord that passes through the centre of a circle?
The chord that passes through the center of a circle is called the diameter. The measure of this chord is also called the diameter, and is used in calculations such as finding the circumference of a circle (Circumference equals pi times the diameter).^^wrong...it is eitherSecant or tangent im pretty sure its SECANT though...
