Beginner question: handle following a curve

https://preview.redd.it/u1043t81vs9h1.png?width=855&format=png&auto=webp&s=649edcc834790f0556cef722ccc45d36d73631ed

Okay I am quite stumped on how to create what I want. I have fairly little experience with Fusion360. I am trying to create a handle for this object. The handle should be a constant width (4mm). I tried several tools for this:

• Extrude: this creates a handle that doesn't follow the circle's curviture (square points sticking out from the circle)
• Revolve: gives an error (profile crosses the revolve axis). Splitting the handle drawing into 2 parts solves the error, but gives a handle that becomes smaller as it nears the middle
• Sweep: same as revolve

I am definitely missing a very simple solution here. Could someone point me in the right direction?