Respuesta :

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

[tex]p=2\pi\sqrt[]{\frac{a^2+b^2}{2}}[/tex]

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:

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

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