Home
Class 12
MATHS
Find the area of the circle 4x^2 + 4y^2 ...

Find the area of the circle `4x^2 + 4y^2 = 9` which is interior to the parabola `x^2 = 4y`.

Text Solution

Verified by Experts

The correct Answer is:
`((sqrt(2))/6+9/4"sin"^(-1)(2sqrt(2))/3)` sq. units
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLE SECTION VI|3 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTION FOR PRACTICE SECTION I)|5 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLE SECTION IV|3 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

Similar Questions

Explore conceptually related problems

Find the area of the circle 4x^2+4y^2=9 which is interior to the parabola y^2= 4x .

(a) (i)Find the area of the circle x^2+y^2=16 , which is exterior to the parabola y^2=6x .

Find the area of that part of the circle x^2 + y^2 = 16 which is exterior to the parabola y^2 = 6x.

The area of the circle x^2+y^2 = 8x , lying above x-axis and interior to the parabola y^2= 4x is

Find the focus of the parabola x^2=4y

(b) Find the area of the region bounded by the circle x^2+y^2=16 and the parabola x^2=6y .

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

Find the area bounded by the curve x^2 = 4y and the line x=4y-2 .

Find the equation of the circle through points of intersection of the circle x^2 + y^2 -2x - 4y + 4 =0 and the line x + 2y = 4 which touches the line x + 2y = 0 .