Circles: Standard and General Equations, Tangent/Normal A circle is a closed curve that encircles a fixed point (the center) at a fixed distance (the radius...
Circles: Standard and General Equations, Tangent/Normal
A circle is a closed curve that encircles a fixed point (the center) at a fixed distance (the radius).
Standard Equation:
where:
(h, k) is the center point.
r is the radius.
General Equation:
where:
(x, y) is a point on the circle.
r is the radius.
Tangent/Normal:
A tangent is a line that touches the circle at one point. The tangent line is perpendicular to the radius at the point of contact.
A normal is a line that is perpendicular to the radius. The normal line intersects the circle at one point, which is the center of the circle.
These equations provide a way to represent circles mathematically and to solve problems related to circles