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

Find the area of the circle `x^(2) + y^(2) = a^(2)` using integration.

Text Solution

Verified by Experts

The correct Answer is:
`pia^(2)` sq. Unit
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise NCERT TEXT BOOK EXERCISE 8.1|13 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise NCERT TEXT BOOK EXERCISE 8.2|7 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

Similar Questions

Explore conceptually related problems

Find the area of the circle x^(2) + y^(2) = 4 using integration.

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

(i) Find the point at which the circle x^(2) + y^(2) = 32 intersects the positive x-axis. (ii) Shade the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^(2) + y^(2) = 32 . (iii) Using integration, find the area of the shaded region.

Find the area of the smaller part of the circle x^(2) + y^(2) = a^(2) cut off by the line x = (a)/(sqrt(2)) .

The area enclosed by the circle x^(2) + y^(2)= 2 is equal to

Find the area enclosed between the circles x^(2) + y^(2) = 4 and (x - 2)^(2) + y^(2) = 4 .

Find the area of the region common to the circle x^(2) + y^(2) = 16 and the parabola y^(2) =6x .

Find the area of the circle x^2+y^2=16 which is exterior to the parabola y^2=6x by using integration.