Intersection Arc/Curve & Line

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Here I created a line from A to A1 with a length of 5cm.

Then I created an arc (using the arc tool) with a diameter of 5cm starting at the A1 node and going to 90°.

Then I placed a point A2 (using the Segment an Arc tool) 4cm away from A1 on along the arc.

Is this what you are trying to do?