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A circle is the set of all points that are the same distance, r, from a fixed point called center. If x, y is any point on the circle whose center is at a, b then the radius r of the circle is:. According to Pythagorean Theorem Square of hypotenuse is sum of square of other two sides of the right triangle :. The above equation is called the Standard Form of equation of a circle. This form is also referred as center-radius form of equation of a circle.
A circle 8 is the set of points in a plane that lie a fixed distance, called the radius 9 , from any point, called the center. The diameter 10 is the length of a line segment passing through the center whose endpoints are on the circle. In addition, a circle can be formed by the intersection of a cone and a plane that is perpendicular to the axis of the cone:. Squaring both sides leads us to the equation of a circle in standard form 11 ,.