Ellipse - perimeter and area
P ≈ π × √2 × (a2 + b2)
A = π × a × b
A = area
P = perimeter
a = long half axis
b = short half axis
WHAT IS IT ?
Ellipse is defined by two points, each called a focus. If you take any point on the ellipse, the sum of the distances to the focus points is constant.
CALCULATION:
EXAMPLE:
The major axis of the ellipse is, for example, 8 cm, and the minor axis is 6 cm. Thus
a = 8
b = 6.
perimeter of the ellipse:
We use the formula
O ≈ π * √2 * (a² + b²)
thus
O ≈ 3.14 * √2 * (8*8 + 6*6)
O ≈ 44.43 cm - approximately
area of the ellipse:
We use the formula
A = π × a × b
thus
A = 3.14 × 8 × 6
A = 150.8 cm²
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