hi i need to find area enclosed in the shape (x^2+y^2-4y=0) - a circle? From pi/3 rads and pi/4 rads. How to do this? Do I need to convert to polar form?
hi i need to find area enclosed in the shape (x^2+y^2-4y=0) - a circle? From pi/3 rads and pi/4 rads. How to do this? Do I need to convert to polar form?
(x^2+y^2-4y=0)
Rewrite this as
x^2 + y^2 - 4y + 4 = 4
Or
x^2 + (y-2)^2 = 4.......(1)
Here r = 2.
Now put x = r*cosθ and (y-2) = r*sinθ . Find the value of x or y at the angles π/3 and π/4.
Then find the intg(x*dy) between the above limits to get the area.
Last edited by sa-ri-ga-ma; Mar 15th 2010 at 04:07 AM.
hi i need to find area enclosed in the shape (x^2+y^2-4y=0) - a circle? From pi/3 rads and pi/4 rads. How to do this? Do I need to convert to polar form?