Question

Find the area of the ellipse given by (x²/49) + (y²/36) = 1

a) 2π
b) 7π
c) 6π
d) 3π

Answer 1

The area of the given ellipse is 42π units².

Step-by-step explanation:

The equation of the ellipse given is (x²/49) + (y²/36) = 1

To find the area of the ellipse, we can use the formula A = πab, where a is the length of the semi-major axis and b is the length of the semi-minor axis.

For the given equation, the length of the semi-major axis is 7 units and the length of the semi-minor axis is 6 units.

Therefore, the area of the ellipse is:

A = π(7)(6) = 42π units²