Question

For what value of "a" is the area enclosed by r =theta, theta=0, and theta=a equal to 1?

Answer 1

Isn't that just a circle of radius=a?
Or do you want the area bounded between the X- and/or Y-axes with that spiral?

Answer 2

The issue is I am not quite sure what they are expecting as the final answer. I am supposed to find the area of a polar curve. And the furthest I get is integral from 0 to 1 1/2(theta)^2 dtheta but them I'm not sure how to get "a" and its values

Answer 3

Or do you mean something like this?