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What is the area of an ellipse with semi-major axis 7 and semi-minor axis 4?

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Question: What is the area of an ellipse with semi-major axis 7 and semi-minor axis 4?

Options:

  1. 28π
  2. 14π
  3. 21π
  4. 35π

Correct Answer: 28π

Solution: 

The area of an ellipse is given by A = πab. Here, A = π * 7 * 4 = 28π.

What is the area of an ellipse with semi-major axis 7 and semi-minor axis 4?

Practice Questions

Q1
What is the area of an ellipse with semi-major axis 7 and semi-minor axis 4?
  1. 28π
  2. 14π
  3. 21π
  4. 35π

Questions & Step-by-Step Solutions

What is the area of an ellipse with semi-major axis 7 and semi-minor axis 4?
  • Step 1: Identify the semi-major axis and semi-minor axis of the ellipse. The semi-major axis is 7 and the semi-minor axis is 4.
  • Step 2: Use the formula for the area of an ellipse, which is A = πab, where 'a' is the semi-major axis and 'b' is the semi-minor axis.
  • Step 3: Substitute the values into the formula: A = π * 7 * 4.
  • Step 4: Calculate the multiplication: 7 * 4 = 28.
  • Step 5: Multiply by π: A = 28π.
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