The formula for finding the area in polar coordinates is A = 1/2 ∫θ1θ2 r² dθ, where r is the radius and θ1 and θ2 are the starting and ending angles, respectively.
To convert from polar coordinates to rectangular coordinates, you can use the following formulas: x = rcosθ and y = rsinθ, where r is the radius and θ is the angle.
No, the area in polar coordinates cannot be negative. It is always a positive value since it represents the magnitude of the region enclosed by the curve.
The main difference between polar coordinates and rectangular coordinates is that polar coordinates use an angle and a radius to locate a point, while rectangular coordinates use x and y coordinates.
To find the area of a sector in polar coordinates, you can use the formula A = 1/2 r²θ, where r is the radius and θ is the angle of the sector.