how to find area of an ellipse

Proof : - Let P(x1,y1) be a given point on the ellipse (x 2 /a 2 )+(y 2 /b 2 )=1 and then Q(x2,y2) be a neighboring point on it Then the equation of the Chord PQ is (y-y1)/(x-x1) = (y2-y1)/(x2-x1) ------ 1 Since P(x1,y1) and Q (x2,y2) lie on the given ellipse . We have (x1 2 /a ..

Lets look at few example problems for all the above topics ,which are mentioned in this pag..

1 square foot = 144 square inches 1 square foot = 929.0304 square centimeters 1 square yard = 9 square feet 1 square meter 10.7639104 square feet 1 acre = 43,560 square feet 1 hectare = 10,000 square meters 1 hectare 2.4710538 acres 1 s..

Remarks - For the ellipse (x 2 /a 2 )+(y 2 /b 2 ) = 1 ,we have centre O (0,0) Vertices A(a,0) and A(-a,0) Major axis axis =2a and minor axis = 2b eccentricity e = 1-(b 2 /a 2 ) The foci are F (ae,0) and F(-ae,0) The equation of the directrix are x=a/e and x= -a..

Which of the following could be the eccentricity of an ellipse? => 3 / 2 or 3 / 5 or 5 / 3 or 1..

Find the polar equation for the ellipse with one focus at the pole. => r = 1 2 5 + 3 cos θ or r = 6 5 + 3 cos θ or r = 3 3 + 5 cos θ or None of the above..

Choose an equation for the ellipse shown. => 2 x 2 + y 2 = 2 or x 2 + 4 y 2 = 4 or 4 x 2 + y 2 = 4 or x 2 + 2 y 2 = 2..

Choose the graph of an ellipse whose domain is - 4 to 4. => Graph 1 or Graph 2 or Graph 3 or Graph 4..

What is the maximum number of points in which a hyperbola and an ellipse intersect each other? => 1 or 4 or 3 or 0..

The formula for the area of a rectanhle = A = Length x Breadth =l x..