Question

What is the standard form of a circle?

Answer 1

Standard form of a circle:

A circle is a closed two-dimensional figure, where all the points on the surface of the circle are equidistant from the center point.

The equation of the circle is given in two forms: standard form and general form.

The standard form of a circle is given by

${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$

where $(h,k)$ is the center of the circle, $r$ is the radius of the circle, and $\left(x,y\right)$ is the general point of the circle.

Hence, the standard form of a circle is ${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$