Area of an ellipse, formula and example

πab

The area of an ellipse can be found by the following formula

area = Πab
where b is the distance from the center to a co-vertex

a is the distance from the center to a vertex

Example of Area of of an Ellipse

In the ellipse below a is 6 and b is 2 so the area is 12Π

Picture and formula eccentricity of ellipse

The special case of a circle's area
A circle is a special case of an ellipse. Analogous to the fact that a square is a kind of rectangle, a circle is a special case of an ellipse. The formula for the area of a circle is Πr² . However, since a circle is an ellipse with equal major and minor axes, the formula formula for the ellipse's are is equivalent to the formula for area of a circle.

Area of an Ellipse

πab

Example of Area of of an Ellipse