Home
Class 12
MATHS
Find the area of the region bounde ...

Find the area of the region bounde by the curve ` y = sqrt ( 16 - x ^(2)) ` , the X - axis and the lines ` x = 0 , x= 4 `.

Text Solution

Verified by Experts

The correct Answer is:
` 4pi ` sq units
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS ( AREA )

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (3 OR 4 MARKS )|5 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS ( AREA )

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (3 OR 4 MARKS )|5 Videos

  • APPLICATIONS OF DERIVATIVES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve y= sqrt ( 9- x ^(2)) , X-axis and line x =0 and x =3.

Find the area of the region bounded by the curve y = sqrt ( 36 - x ^(2)), the X- axis lying in the first quadrant and the lines X= 0, X = 6 ?

Knowledge Check

  • The area of the region bounded by the curve ysqrt(16-x^(2)) and X-axis is

    A
    `8pi" sq units"`
    B
    `20pi" sq units"`
    C
    `16pi" sq units"`
    D
    `256 pi " sq units"`

  • The area of the region bounded by the curve ysqrt(16-x^(2)) and X-axis is

    A
    `8pi" sq units"`
    B
    `20pi" sq units"`
    C
    `16pi" sq units"`
    D
    `256 pi " sq units"`

  • The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

    A
    `32/3`
    B
    `(256)/(3)`
    C
    `(64)/(3)`
    D
    `(128)/(3)`

    • Similar Questions

    Explore conceptually related problems

    Find the area of the region bounded by the curve y = sqrt ( 6x + 4) , the X - axis and the lines x = 0, x = 2 .

    Find the area of the region bounded by the curve y^(2)=4x and the line x=3

    Find the area of the region bounded by the curve x = sqrt (25 - y ^(2)) , the Y- axis lying in the first quadrant and the lines y =0 and y =5.

    Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3

    Find the area of the region bounded by the curve y = (x ^(2) + 2) ^(2) , the X-axis and the lines x =1 and x =3.

    Home
    Profile