Question

What is the estimated perimeter of an ellipse if the major axis has a length of 15 ft and minor axis has a length of 7.5 ft? round your answer to the nearest tenth.

A. 36.7 ft
B. 24.2 ft
C. 37.3 ft
D. 25.7 ft

Answer 1

The formula for the perimeter of an ellipse is given by:
P = 2π√((a² + b²)/2)

where a and b are the semi major and semi minor axes.
So, a = 7.5 and b = 3.75

Substituting the values:
P = 2π√((7.5² + 3.75²)/2)
P = 37.25 ft

The closest answer is
C. 37.3 ft