## What is the standard form of a circle?

### The standard form of a circle is given by the equation (x – h)^2 + (y – k)^2 = r^2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius

The standard form of a circle is given by the equation (x – h)^2 + (y – k)^2 = r^2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius.

In this equation, the term (x – h)^2 represents the horizontal distance from any point on the circle to the center, squared. Similarly, (y – k)^2 represents the vertical distance from any point on the circle to the center, squared.

The radius, r, denotes the distance from the center of the circle to any point on the circumference. It is important to note that r^2 is used in the equation to simplify calculations and avoid square roots.

By using the standard form of a circle, we can easily determine the center and radius of a given circle by comparing its equation to this standard form.

##### More Answers:

Understanding the Circle Formula | Exploring the Significance of (h, k) as the Coordinates of the Circle’s CenterUnderstanding the Notation and Concept of f(x) as a Mathematical Function

Understanding the Circle Equation | Explaining the Meaning of ‘r’ as the Radius