SOLUTION: What is the area of the ellipse whose equation is 25x^2 + 16y^2 = 400.

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Question 1082531: What is the area of the ellipse whose equation is 25x^2 + 16y^2 = 400.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  Write the given equation in canonical form by dividing both sides by 400.


2. From the canonical form equation find the semi-axes lengths "a" and "b".


3.  The area of the ellipse is pi%2Aa%2Ab.

See the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".