6.1k views
1 vote
If an ellipse has a major axis of 10 cm.(2a) and an area (A) of 62.8 cm2 , what is the minor axis (2b)?

User Victorx
by
7.2k points

1 Answer

7 votes

Answer:

The area of an ellipse is given by the formula: A = πab, where a is the major axis and b is the minor axis.

Given that the major axis is 10 cm (2a) and the area is 62.8 cm^2, we can set up the following equation:

62.8 = π(10/2)(b)

To solve for b, we can divide both sides of the equation by (10/2) and then divide by π:

b = (62.8 / (10/2)) / π

b = (62.8 / 5) / π

b = 12.56 / π ≈ 4 cm

So, the minor axis is 4 cm.

User Mahlatse
by
7.4k points