May aswell post here!

Draw a picture of the region of the limits.

The lower limits are x = 0 and y = 0, which tells you that both x > 0 and y > 0, which means you're dealing with the 1st quadrant of the cartesian axis system.

Sketching the upper y limit

gives:

Circle with centre (0,0), radius a.

So from that sketch you should see that, in polar, the limits range from .

And the radius ranges from . Which converts to: