Circle in polar coordinates

[TsAmE]

Describe the region inside the circle (x - 1)^2 + y^2 = 1 and to the right of the line x = 1 in polar coordinates.

Attempt:

(refer to attachment).

How would you represent the part of the circle (to the right of x = 1) as a polar equation?

 

[Deleted member 4993]

x=1 should be a diameter.

How would you represent (x-1)[sup:27axno29]2[/sup:27axno29] + y[sup:27axno29]2[/sup:27axno29] = 1 in polar co-ordinate?

.

 

[tkhunny]

\(\displaystyle x = r\cdot\cos(\theta)\)

\(\displaystyle y = r\cdot\sin(\theta)\)

Substitute and do some algebra.