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How can I cut an arc into a square plane? The gif above shows what I want to do, but, in another software.

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No need to subdivide the whole plane, no need to add vertex groups or modifiers!

All you need is Ctrl+Shift+B and middle mouse button scrolling on vertex or vertices:

enter image description here

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  • $\begingroup$ much thanks its to shortcut i know to bevel but this bevel is awesome $\endgroup$ – atek Sep 27 '16 at 16:05
  • $\begingroup$ Thats one very useful hidden feature, thanks! $\endgroup$ – Jan Kadeřábek Oct 1 '17 at 18:22
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    $\begingroup$ Any way to do this with a trackpad? $\endgroup$ – rraallvv Dec 29 '18 at 20:52
  • $\begingroup$ @rraallvv Not interactively. You have to confirm the operator then go into operator options (bottom of Tools panel) and set the parameters of that bevel. $\endgroup$ – Jaroslav Jerryno Novotny Dec 29 '18 at 20:56
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You can achieve this with the Bevel modifier.

Tab into edit mode and select the corners you want to curve. Press CtrlG followed by A or click Mesh -> Vertices -> Vertex Groups -> Assign to New Group to assign them to a new vertex group.

Tab back to object mode and add a Bevel modifier.
Enable Only Vertices set Limit Method to Vertex Group and select the vertex group you just created (by default it will be named Group). Adjust Segments and Width to meet your needs.

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You could subdivide a plane twice, then add a subsurf modifier at level 2. To sharpen the edge on one side and remove the rounded form, add an edge loop with Ctrl+R

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    $\begingroup$ Subsurf will not add circular arc. It adds a spline arc which is C2 smooth opposed to circular arc which is not. $\endgroup$ – Jaroslav Jerryno Novotny Sep 27 '16 at 13:38
  • $\begingroup$ This method is not very performance efficient. It adds way too many unnecessary polygons. Bevel is much better. $\endgroup$ – Simon S. Nov 10 '16 at 16:04

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