You can follow below steps to create a button with the sample macro for you to create arc length dimension:
1. Copy below macro to a VBA module(in the ApplicationProject).
Sub ArcLengthDim()
Dim oDoc As DrawingDocument
Set oDoc = ThisApplication.ActiveDocument
Dim oSheet As Sheet
Set oSheet = oDoc.ActiveSheet
Dim oCurveSeg As DrawingCurveSegment
Set oCurveSeg = ThisApplication.CommandManager.Pick(kDrawingCurveSegmentFilter, "Select an arc drawing curve")
Dim oCurve As DrawingCurve
Set oCurve = oCurveSeg.Parent
If oCurve.CurveType <> kCircularArcCurve Then
MsgBox "The selected drawing curve is not an arc curve!"
Exit Sub
End If
Dim dPosX As Double, dPosY As Double
If oCurve.MidPoint.X <= oCurve.CenterPoint.X Then
dPosX = oCurve.MidPoint.X * 3 / 2 - oCurve.CenterPoint.X / 2
Else
dPosX = oCurve.MidPoint.X / 2 + oCurve.CenterPoint.X / 2
End If
If oCurve.MidPoint.Y <= oCurve.CenterPoint.Y Then
dPosY = oCurve.MidPoint.Y * 3 / 2 - oCurve.CenterPoint.Y / 2
Else
dPosY = oCurve.MidPoint.Y / 2 + oCurve.CenterPoint.Y / 2
End If
Dim oPos As Point2d
Set oPos = ThisApplication.TransientGeometry.CreatePoint2d(dPosX, dPosY)
Dim oIntent As GeometryIntent
Set oIntent = oSheet.CreateGeometryIntent(oCurve)
Dim oArcLenDim As LinearGeneralDimension
Set oArcLenDim = oSheet.DrawingDimensions.GeneralDimensions.AddLinear(oPos, oIntent, , kArcLengthDimensionType)
End Sub
2. In Inventor ribbon, right click and choose "Customize User Commands...".
3. In the Ribbon tab, select "ArcLengthDim" macro in the commands, and send it to the "Drawing | Annotate" tab:


4. Now in the drawing, activate the Annotate tab, and find the macro command:

5. Click it and select an arc curve to see the result.
This is a sample for you to get starting on this. Hope it helps.
If this solves the problem please click ACCEPT SOLUTION so other people can find it easily.
Rocky Zhang
Inventor API PD
Manufacturing Solutions
Autodesk, Inc.