Question

The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?

Answer 1

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

$\:a\:\times \:b\:\times \:\pi$

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

• The value of a = major axis/2 = 25/2 = 12.5 inches

• The value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

                                     Area = $\:a\:\times \:b\:\times \:\pi$

                                              $=\:12.5\:\times\:2\:\times\:\pi$

                                              $=25\pi$

                                               $=78.5$ inches     ∵ $\pi =3.14$

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches