The image above is an ellipse.

To compute the perimeter of an ellipse, two essential parameters are needed and this parameters are** axis (a)** and** axis (b).**

The formula for calculating the perimeter of an ellipse:

P = π [3(a + b) – √((3a + b)(a + 3b))]

Where;

P = Perimeter of the ellipse

a = Axis of the ellipse

b = Axis of the ellipse

Let’s solve an example;

Given that the axis of the ellipse (a) is 19 cm and axis of the ellipse (b) is 31 cm. Find the perimeter of the ellipse?

This implies that;

a = Axis of the ellipse = 19 cm

b = Axis of the ellipse = 31 cm

P = π [3(a + b) – √((3a + b)(a + 3b))]

P = 3.142 [3(19 + 31) – √((3 x 19 + 31)(19 + 3 x 31))]

P = 3.142 [3(50) – √((57+ 31)(19 + 93))]

P = 3.142 [150 – √((88)(112))]

P = 3.142 [150 – √(9856)]

P = 3.142 [150 – 99.28]

P = 3.142 [50.72]

P = 3.142 x 50.72

P = 159.26

Therefore, the perimeter of the ellipse is 159.26 cm.

Continue reading How to Calculate and Solve for the Perimeter of an Ellipse | Nickzom Calculator