# What is a circle in algebra?

Space and AstronomyIn algebraic terms, a circle is **the figure formed by the set (or “locus”) of points (x, y) at some fixed distance r from some fixed point (h, k)**. The value of r is called the “radius” of the circle, and the point (h, k) is called the “center” of the circle.

## What is a circle in math equation?

The general equation of a circle is **(x – h) ^{2} + (y – k)^{2} = r^{2}**, where (h, k) represents the location of the circle’s center, and r represents the length of its radius.

## What is a circle simple definition?

In geometry, a circle is **a perfectly round shape**—meaning any point around its curve is the same distance from its central point. Circle commonly refers to anything that’s approximately shaped like this, even if it’s not a perfect circle in geometric terms. The letter O is a circle.

## Is equation of a circle algebra?

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

Other Circle Formulas.

Diameter | 2 x radius |
---|---|

Area | π(radius)^{2} |

## How do you tell if an equation is a circle?

Video quote: *So if you kind of remember what would you do is if the coefficients of my x squared and my Y squared are exactly the same meaning. If a is equal to C. Then you know you're gonna have a circle.*

## How do you write the general form of a circle?

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.

## What is a circle diameter?

Diameter of a circle

The diameter is **the length of the line through the center that touches two points on the edge of the circle**.

## How do you graph a circle?

**Center away from the origin**

- Locate the center of the circle from the equation (h, v). Place the center of the circle at (3, –1).
- Calculate the radius by solving for r.
- Plot the radius points on the coordinate plane. …
- Connect the dots to the graph of the circle with a round, smooth curve.

## What function is a circle?

Explanation: The equation of a circle is \displaystyle **(x – h)^2 + (y – k)^2 = r^2**, in which (h, k) is the center of the circle and r is its radius. Because the graph of the circle is centered at (0, 0), h and k are both 0. Because the radius is 3, the right side of the equation is equal to 9.

## How do you draw a circle equation?

Video quote: *The general equation for a circle is x squared plus y squared equals. The radius squared.*

## How do you make a circle in Desmos equation?

Video quote: *Now the default form for a circle is x squared plus y squared equals. The radius squared.*

## How do you make a circle on a graphing calculator?

Video quote: *The application list opens up go down to number 4 conics. And press enter types of conics that you can graph the conex app are circles ellipses hyperbolas and parabolas go down to number one circle.*

## How do you draw a circle in origin?

First use the toolbar to draw a circle on your graph. Edit the properties to be the way you want. **Alt+DoubleClick on the circle to note its Object Name**. (It’s always “circle” for the first circle drawn.)

## How do you make a quarter circle on Desmos?

Video quote: *The X to be greater than zero so all the positive values for the X. So again go back to my equation in curly braces X is going to be greater than zero. And there I have my quarter circle.*

## How do you make a half circle graph?

Video quote: *So x squared plus y squared equals four squared so we have a circle with a radius of four. Now if I only want the top half of the circle.*

## How do you make an arc on Desmos?

Video quote: *So if we want the radius to be five. And then you need to cursor over to the right to get the bracket in the right spot and then raised to the power 2 + bracket Y divided by the radius.*

## How do you find the equation of a quarter circle?

The formula for the area of a quarter circle using the diameter. If the length of the radius is r, then the length of the circle’s diameter, d = 2r, that is, **r = d/2**.

## What is a half of a circle called?

**A semicircle** is half of a circle.

## What is one fourth of a circle called?

The area (or) portion that is formed by two radii that are perpendicular to each other and one-fourth portion of the circumference of a circle is known as a **quarter circle**. This is also known as a quadrant of a circle.

## How do you find the radius of a circle?

**How do you find the radius of a circle?**

- Radius of a circle from area: if you know the area A , the radius is r = √(A / π) .
- Radius of a circle from circumference: if you know the circumference c , the radius is r = c / (2 * π) .
- Radius of a circle from diameter: if you know the diameter d , the radius is r = d / 2 .

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