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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?
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
What else can I help you with?
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 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
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 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
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 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 does circumference and diameter of every circle?
The circumference divided by its diameter for any circle is equals pi.
What is the ratio of circumference of a circle to it's diameter?
The circumference of a circle equals pi times the diameter.
Does circumference equals pi diameter?
Yes. Circumference (of a circle) is pi x the diameter of the circle.
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 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)
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...
