vela said:Not quite. You haven't used the fact that the area is outside the circle r=1.
TheRedDevil18 said:Ok, so is this expression right ?
A = 2*integral from 0 to pi/9 of (1/2(2cos(3 theta))^2) - 1/2(1)^2 d theta
The area between two polar curves is the region enclosed by the curves on a polar coordinate plane. It is similar to finding the area between two curves on a Cartesian coordinate plane, but the equations of the curves are in polar form.
To find the area between two polar curves, you first need to graph the curves on a polar coordinate plane. Then, you can use the formula A = 1/2∫(r2-r1)^2 dθ, where r1 and r2 are the equations of the curves and θ is the angle of rotation.
No, the area between polar curves cannot be negative. The area is always a positive value because it represents the magnitude of the enclosed region on the coordinate plane.
Finding the area between polar curves involves finding the area of the region enclosed by two curves, while finding the area under a polar curve involves finding the area of the region between the curve and the origin of the polar coordinate plane.
Yes, the area between polar curves can be infinite if the curves intersect an infinite number of times or if one of the curves has an asymptote that extends to infinity. In this case, the area between the curves would also be infinite.