formula for Area with Polar Coordinates integral |1/2r^2dQ can anyone prove this?

Ä± am using formula but dont get where it comes.how can I be satisfied in this way :(

I think it's a simplified form of a triple integral but it might be derived another way not entirely sure

double integral i mean

thanks s.n I was trying to figure out.how comes with double intgral? isnt it an area bounded by a region.

Relax. No double integral here. It's based on the formula for the area of a sector of a circle, which is proportional to the central angle theta. Find that formula first. To find a polar area, you use a series of "sectors" much like a series of Riemann rectangles. Shrink the sectors and take the limit of the sum. That enough of a hint?

thanks man.you re right.I am so "bimbo".