# How do you write the equation of a circle Khan Academy?

## How do you write the equation of a circle Khan Academy?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius.

Is a circle on a graph a function?

If you are looking at a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then a circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

What are all the formulas for a circle?

The fixed point is called the center of the circle. Radius is the distance from the center of a circle to the boundary of the circle….List of All Circle Formulas.

Parameters Circle Formulas
Circumference of a circle formula C = 2 × π ×
Area of a circle formula A = π × r2

### How do you find the standard form of a circle?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

What does a function look like on a graph?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

How to graph a circle from its standard equation?

For example, graph the circle whose equation is (x+5)²+(y+2)²=4. Given the standard form equation of a circle, graph the circle. For example, graph the circle whose equation is (x+5)²+(y+2)²=4. If you’re seeing this message, it means we’re having trouble loading external resources on our website.

#### Which is an example of graphing a circle?

Given the standard form equation of a circle, graph the circle. For example, graph the circle whose equation is (x+5)²+(y+2)²=4. Given the standard form equation of a circle, graph the circle. For example, graph the circle whose equation is (x+5)²+(y+2)²=4.

Is the equation of a circle a function?

In its simplest form, the equation of a circle is x²+y²=r². Typically, we think of an equation as a function that gives a particular output for a certain input, but on a more fundamental level, an equation is a functional relationship. It tells you something that must be true for a certain relation among variables.

How to find the center of a circle?

Sal finds the center and the radius of the circle whose equation is (x+3)^2+ (y-4)^2=49. Created by Sal Khan. This is the currently selected item. Posted 6 years ago.

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