Question

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

Answer 1

By definition the perimeter of an ellipse is given by:

`P = 2 \pi \sqrt{ (a^2+b^2)/(2) }`
Where,
a: semimajor axis of the ellipse
b: minor semiaxis of the ellipse
Substituting values we have:

`P = 2 \pi \sqrt{ (( (15)/(2) )^2+( (7.5)/(2) )^2)/(2) }`
When doing the corresponding calculations, we have that the perimeter is given by:

`P = 37.254706`
Round to the nearest tenth:

`P = 37.3 feet`
Answer:
the estimated perimeter of the ellipse is:

`P = 37.3 feet`