Question

How do you write the standard form of a circle?

Answer 1

Finding how to write the standard form of a circle equation:

The standard form of a circle equation is given below:

${(x–h)}^2+{(y–k)}^2=r^2$

Here, $(h,k)$ ae the coordinates of the center of the circle and $r$ is the radius.

When the center of a circle lies at the origin, then the standard form of equation of circle becomes:

$x^2+y^2=r^2$

The equation of unit circle $\left(r=1\right)$ is:

$x^2+y^2=1$

Hence, we can write the standard form of circle as mentioned above.