Question

Find the perimeter of an ellipse if the major axis is 30mm and the minor axis is 12mm. round off your answer to the nearest whole number

Answer 1

The perimeter of an ellipse can be approximated by the formula:

`p=2\pi\sqrt[]{(a^2+b^2)/(2)}`

If the major axis is 30 mm and the minor axis is 12 mm, we have a = 15 and b = 6, so the perimeter is:

`\begin{gathered} p=2\pi\sqrt[]{(15^2+6^2)/(2)} \\ p=2\pi\sqrt[]{(225+36)/(2)} \\ p=2\pi\sqrt[]{130.5} \\ p=6.28\cdot11.42 \\ p=71.72 \end{gathered}`

Rounding to the nearest whole number, we have p = 72 mm.