Circle

Homogeneous equation of circle

Homogeneous equation of circle

The equation for a circle in homogeneous coordinates is given by (x−aw)2+(y−bw)2=r2w2.

  1. What is the general equation of circle?
  2. What is H and K in a circle?
  3. Which is the equation of a circle with center (- 2 3?
  4. Is the equation of a circle a function?

What is the general equation of circle?

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation.

What is H and K in a circle?

Equation of a Circle, Standard Form (Center anywhere)

A circle can be defined as the locus of all points that satisfy the equation. (x-h)2 + (y-k)2 = r2. where r is the radius of the circle, and h,k are the coordinates of its center.

Which is the equation of a circle with center (- 2 3?

The equation of the circle with center (-2,3) and radius = 3 units will be x2 + y2 + 4x - 6y + 4 = 0.

Is the equation of a circle a function?

No. The mathematical formula used to describe a circle is an equation, not one function. For a given set of inputs a function must have at most one output. A circle can be described with two functions, one for the upper half and one for the lower half.

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