What Alpha Value Encloses an Area of 1 in Polar Coordinates?

[_MNice_]

1. For what value of α is the area enclosed by r=∅, ∅=0, and ∅=α equal to 1?



2. x=rcos(∅)
y=rsin(∅)



3. x=∅cos(0)
x=∅cos(α)
y=∅sin(∅)
y=∅cos(α)

Don't know what to do after this

 

[LCKurtz]

There is no point nor any need for rectangular coordinates for this problem. What is the polar coordinate integral formula for area inside r = f(θ)?