The perimeter of an ellipse depends on the lengths of its major and minor axes, and is given by

and E is the function whose graph is given in Figure 2.109.

(a) Calculate the perimeter of the ellipse whose axes are of length 10 cm and 6 cm.

(b) A fairing is to be made from sheet metal bent into the shape of an ellipse of major axis 55 cm and minor axis 13 cm, and is to be of length 2 m. Estimate the area of sheet metal required.

Transcribed Image Text:

where perimeter = 2 (major axis). E(m) m = (major axis) (minor axis) (major axis)