Concept explainers
To find: The formula for the area of an ellipse.
Answer to Problem 42HP
The formula for the area of an ellipseis
Explanation of Solution
Given information:
When the values of
Concept used:
Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,
The coordinate of the foci is
The value of
The vertices are at
Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,
The coordinate of the foci is
The vertices are at
The value of
The area of the circle with radius
The circle is stretched by a factor of
The area of the ellipse with radius
Thus, the formula for the area of an ellipse is
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