The area enclosed by the given curve, which is an equation of an ellipse, is equal to πab.

Here's the step-by-step solution:

1. The given equation is of the form x²/a² + y²/b² = 1, which is the standard equation of an ellipse.

2. The area A of an ellipse with semi-major axis a and semi-minor axis b is given by the formula A = πab.

3. Therefore, the area enclosed by the curve x²/a² + y²/b² = 1 is πab.

Question

The area enclosed by the given curve, which is an equation of an ellipse, is equal to πab.

Here's the step-by-step solution:

1. The given equation is of the form x²/a² + y²/b² = 1, which is the standard equation of an ellipse.

2. The area A of an ellipse with semi-major axis a and semi-minor axis b is given by the formula A = πab.

3. Therefore, the area enclosed by the curve x²/a² + y²/b² = 1 is πab.

Knowee AI · Accepted Answer

The area enclosed by the given curve, which is an equation of an ellipse, is equal to πab.

Here's the step-by-step solution:

1. The given equation is of the form x²/a² + y²/b² = 1, which is the standard equation of an ellipse.

2. The area A of an ellipse with semi-major axis a and semi-minor axis b is given by the formula A = πab.

3. Therefore, the area enclosed by the curve x²/a² + y²/b² = 1 is πab.

The area enclosed by the curve x2a2 + y2b2 = 1 is equal to