# What is the conic section of a circle?

Space and AstronomyAs a conic section, the circle is **the intersection of a plane perpendicular to the cone’s axis**. The geometric definition of a circle is the locus of all points a constant distance r {\displaystyle r} from a point ( h , k ) {\displaystyle (h,k)} and forming the circumference (C).

## How do you identify a conic section?

Video quote: *So if we have a conic in general form and a equals C or the coefficient of the x squared term equals the coefficient of the Y squared term.*

## How do you know if a circle is conic?

The general equation for any conic section is Ax^{2}+Bxy+Cy^{2}+Dx+Ey+F = 0, where A, B, C, D, E, F are constants. 1. **If A and C are non zero and equal, and both have the same sign, then it will be a circle**.

## How do you determine if the 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.*

## What is circle equation?

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.

## How do you do circles in math?

Video quote: *Number 2 the area of a circle is 81 pi what is the circumference of the circle. So we know the area is PI R squared. And the area is 81 pi. So let's calculate the value of R.*

## 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**.

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