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Charts & Visual Data

Rotate Pie Chart Formula: Exact First-Slice Angle to Center Callout at 3 O’Clock

Calculate the exact Angle of First Slice in degrees MOD(90 - 180 * Share + 360, 360) so a highlighted pie wedge or Bar-of-Pie connector centers symmetrically on the 3 o’clock horizontal axis.

Stop eyeballing Pie rotation sliders — compute exact 3 o’clock symmetry!

Pie chart rotation starts at 0° (12 o’clock vertical) and sweeps clockwise, placing 90° horizontally at 3 o’clock where right-hand callout boxes and secondary Bar-of-Pie stacks attach. If your focal first slice B2 occupies share p = B2 / SUM(B2:B5), its angular width is theta = 360 * p degrees and its half-angle is 180 * p degrees.

To align the slice bisector squarely at 90° (or any target azimuth alpha_target), set Angle_of_First_Slice = MOD(90 - 180 * (B2 / SUM(B2:B5)) + 360, 360). Adding +360 before MOD(..., 360) handles majority slices (> 50%, where half-angle > 90°) cleanly without negative-angle wrap issues!

Focal Slice Share pSlice Span (360*p)Exact First-Slice RotationResulting Wedge Bounds
15.0% ($150 / $1,000)54.0°63.0°63° to 117° -> Bisector at 90° (3 o’clock)
60.0% ($600 / $1,000)216.0°342.0°342° clockwise by 216° -> Bisector at 90°

First-Slice Rotation Angle (°) to Center Wedge at 3 O’Clock (90°)

Computes the clockwise starting angle in [0°, 360°) that centers slice B2 horizontally at 90°.

=IF(OR(B2 <= 0, SUM(B2:B5) <= 0), "Focal Slice Must Be Positive", ROUND(MOD(90 - 180 * (B2 / SUM(B2:B5)) + 360, 360), 1))

Focal Wedge Angular Span in Degrees

Converts slice share B2 / SUM(B2:B5) into central angle degrees.

=IF(SUM(B2:B5) <= 0, 0, ROUND(360 * B2 / SUM(B2:B5), 1))

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