About General Circle Equation

Introduction to general circle equation:-

A circle is a simple shape of Euclidean geometry consists of that point in plane which is equidistant from a given point called the center. The common distance of the point of a circle from its center is called its radius. Circle simple close curve which divide the plane into two regions, an interior and an exterior. The circumference of a circle is the border of the circle (especially when referring to its length). In this article we shall discuss about general equation of circle.

General Form Circle Equation Example Problem:-

The circle equation of center radius of the circle in the form of (x – h) 2 + (y – k) 2 = r2. The center of the circle is starting at the point of (h, k) and the radius of the circle starting "r". This format of the circle equation is helpful, for easily find the center and the radius of the circle.

Example 1:-

Find the general equation of a circle, the center is at (2, - 6) and radius 6

Solution:-

Given (h, k) = (2, - 6) and r = 6

Substitute h, k vale and r value in the standard equation

(x - 2)² + (y - (- 6)) ² = 6²

(x - 2)² + (y + 6)² = 36