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:
 $P = 2 \pi \sqrt{ \frac{a^2+b^2}{2} }$
 Where,
 a: semimajor axis of the ellipse
 b: minor semiaxis of the ellipse
 Substituting values we have:
 $P = 2 \pi \sqrt{ \frac{( \frac{15}{2} )^2+( \frac{7.5}{2} )^2}{2} }$
 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:
 $P = 37.3 feet$