MATH CALCULATOR
Ellipse Standard Form Calculator
Calculate and graph ellipses in standard form with ease.
What is the Ellipse Standard Form Calculator & How does it work?
An ellipse is a geometric shape that can be defined as the set of all points in a plane such that the sum of their distances from two fixed points (the foci) is constant. The standard form equation of an ellipse centered at the origin is given by:This equation describes an ellipse where the major and minor axes are aligned with the coordinate axes. The values of a and b determine the size and shape of the ellipse.
frac{x^2}{a^2} + frac{y^2}{b^2} = 1
a = semi-major axis, b = semi-minor axis
Parameters
Result—
Frequently Asked Questions
What is the formula for the standard form of an ellipse?
The standard form of an ellipse centered at the origin is (frac{x^2}{a^2} + frac{y^2}{b^2} = 1), where a is the semi-major axis and b is the semi-minor axis.
How do I find the values of a and b for an ellipse?
Measure the lengths of the major and minor axes. The value of a is half the length of the major axis, and b is half the length of the minor axis.
Can this calculator handle ellipses not centered at the origin?
No, this calculator assumes the ellipse is centered at the origin (0, 0). For ellipses centered elsewhere, a different formula would be used.
What does it mean if a > b in the ellipse equation?
If a > b, the major axis of the ellipse is horizontal. If b > a, the major axis is vertical.
How do I use this calculator to find the equation of an ellipse?
Input the values of the semi-major axis (a) and the semi-minor axis (b). The calculator will output the standard form equation of the ellipse.
Results are for informational purposes only and do not constitute professional advice.