# Standard Equation of an Ellipse

## Description

Ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length for every point on the curve. The standard equation of an ellipse centered at (Xc,Yc) Cartesian coordinates relates the one-half of the ellipse’s major and minor axes with the Cartesian coordinates of any point of the ellipse.

Related formulas## Variables

x | Coordinate of a point of the ellipse on X axe (m) |

X_{c} | Abscissa of the center of the ellipse (m) |

a | One-half of the ellipse's major axe (m) |

y | Coordinate of a point of the ellipse on Y axe (m) |

Y_{c} | Ordinate of the center of the ellipse (m) |

b | One-half of the ellipse's minor axe (m) |