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Find limits of integration in polar coordinates

Suppose we have this graph and we want to find the area between the 2 curves:
![hi](https://math.codidact.com/uploads/xum62GPERZqYiqMuiVmgLAq1).
We can calculate the are using a double integral:
~~![hi](https://math.codidact.com/uploads/axR3bn8H6att46y116XAXeUT)~~
~~![hi](https://math.codidact.com/uploads/yk94caT3ihKQs4P9nCVwGWhb)~~
In polar coordinates the equation of the curves take this form:
~~![a](https://math.codidact.com/uploads/odkFguKn7CnqsyLG3QMDFBvY)~~
and
~~![a](https://math.codidact.com/uploads/u7BqhyH2viMsy5AZHBoquKEC)~~
How do I find the limits of integration of the angle theta?

Suppose we have this graph and we want to find the area between the 2 curves:
![hi](https://math.codidact.com/uploads/xum62GPERZqYiqMuiVmgLAq1).
We can calculate the are using a double integral:
![graph](https://math.codidact.com/uploads/axR3bn8H6att46y116XAXeUT)
![equation](https://math.codidact.com/uploads/yk94caT3ihKQs4P9nCVwGWhb)
In polar coordinates the equation of the curves take this form:
![equation](https://math.codidact.com/uploads/odkFguKn7CnqsyLG3QMDFBvY)
and
![equation](https://math.codidact.com/uploads/u7BqhyH2viMsy5AZHBoquKEC)
How do I find the limits of integration of the angle theta?

calculus double-integrals polar

calculus double-integrals polar