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Find the area of the (1) circle ...

Find the area of the
(1) circle ` x ^ 2 + y ^ 2 = 25`.
(2) ellipse ` ( x ^2) / ( 1 ) + ( y ^2) / ( 4 ) = 1 `.

Text Solution

Verified by Experts

The correct Answer is:
(1) ` 25 pi ` sq units (2) ` 2 pi` sq units
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Knowledge Check

  • Find the eccentricity of the ellipse (x^2)/(4) = (y^2)/( 25)=1 .

    A
    `( sqrt21)/( 5)`
    B
    `(21)/( sqrt5)`
    C
    `(5)/( sqrt21)`
    D
    None of these

  • What is the area of the ellipse 4x^(2) + 9y^(2) = 1 .

    A
    `6pi`
    B
    `(pi)/(36)`
    C
    `2(e-1)`
    D
    `e-1`

  • The vertex of ellipse (x^(2))/(16)+(y^(2))/(25)=1 are :

    A
    `(pm5,0)`
    B
    `(pm4,0)`
    C
    `(0,pm5)`
    D
    `(0,pm4)`

    • Similar Questions

    Explore conceptually related problems

    Find the area enclosed by the circle x^(2)+y^(2)=25

    The foci of the ellipse (x^(2))/(4) +(y^(2))/(25) = 1 are :

    Find the area of the smaller portion of the circle x^2+y^2=4 cut off by the line x^2=1

    Find the area enclosed by the ellipse (x^(2))/(25) + (y^(2))/(16) = 1 .

    Find the area of the ellipse x^(2)//1 + y^(2)//4 = 1 , in first quadrant

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