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?

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- Mar 15th 2010, 01:11 AMkarljonesdouble intergration
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?

- Mar 15th 2010, 01:41 AMsa-ri-ga-ma
- Mar 15th 2010, 02:16 AMkarljones
hey thanks for your reply sa ri ga ma. pls see attached. The area is in green, so i don't think r can be constant?

- Mar 15th 2010, 02:21 AMmr fantastic
- Mar 15th 2010, 02:40 AMkarljones
So then i need to evalute the following:

integral (theta = pi/3 and pi / 4) integral (r=0 and r= 4 sin theta) 1.r dr dtheta ???

is this correct? many thanks. - Mar 15th 2010, 03:20 AMtom@ballooncalculus
correct