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The area of the quadrant of the circle x...

The area of the quadrant of the circle `x ^(2) +y ^(2) =4` is `"__________".`

Text Solution

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The correct Answer is:
`pi` sq. units
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Explore conceptually related problems

Using integration, (i) find the area of the first quadrant of the circle : x ^(2) +y ^(2) =4 (ii) find the area of the circle : x ^(2) + y ^(2) =4.

Find the area of the semi-portion of the circle x ^(2) + y ^(2) =4.

Knowledge Check

  • The area of the circle x ^(2) +y ^(2) =a ^(2) is :

    A
    `pia ^(2)`
    B
    `2pia`
    C
    `2pia ^(2)`
    D
    None of these
  • The area in the positive quadrant enclosed by the circle x^2+y^2 =4, the line x=y sqrt3 and X-axis is

    A
    `pi/2`
    B
    `pi/4`
    C
    `pi/3`
    D
    `pi`
  • The area lying in the first quadrant and bounded by the circle x^2 + y^2 = 4 and the line x = sqrt 3y is :

    A
    `pi/3`
    B
    `pi/2`
    C
    `pi`
    D
    `pi/5`
  • Similar Questions

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    The area common to the circle y^(2)=x and x^(2)=y is …........

    The area of the smaller portion of the circle x^(2)+y^(2)=4 cut off the line x+y=2 is

    The area of the portion of the circle x^(2)+y^(2)-4y=0 lying below the x -axis is

    Area lying in the first quadrant and bounded by the circle x ^(2) +y ^(2) =4 and the lines x =0 and x =2 is

    Area lying in the first quadrant and bounded by the circle x^(2) + y^(2) = 4 and the line x=y sqrt""3 is