At 94°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 86°, so a 94° angle and an 86° angle side by side make a straight line.
94° is 47/180 of a full circle, or 47π/90 radians. If you face north and turn 94° clockwise, you end up facing between E and ESE (closest to east (E)).
94° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 86° |
| Explement (adds to 360°) | 266° |
| Radians | 47π/90 ≈ 1.640609 |
| Gradians | 104.4444 grad |
| Fraction of a turn | 47/180 (26.11%) |
| Degrees, minutes, seconds | 94° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 94°
| Function | Value |
|---|---|
| sin 94° | 0.997564 |
| cos 94° | −0.069756 |
| tan 94° | −14.300666 |
94° on a protractor
How to draw a 94° angle with a protractor
- Draw a straight line with a ruler. This is the first arm; mark the vertex at one end.
- Place the center mark of the protractor exactly on the vertex and line up the 0° baseline with your line.
- Find 94° on the row of numbers that reads 0° on your line (protractors have two rows running in opposite directions) and make a small dot at the edge.
- Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 94°.
Drawing it a 94° angle without a protractor (rise and run method)
- 94° = 180° − 86°. Draw a straight line, pick a vertex on it, and build an 86° angle on one side as follows; the angle on the other side of the new line is 94°.
- Draw a straight baseline and measure 0.7 inches (about 11/16″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 86°, because tan 86° ≈ 14.3007.
Where you see 94° angles
- The Earth turns 94° on its axis in about 6 h 16 min.
- Obtuse angles like 94° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
94° angle FAQ
What type of angle is 94°?
A 94° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 94°?
The supplement of 94° is 86°, because 94° + 86° = 180°. A 94° angle has no complement, because it is already larger than 90°.
How many radians is 94 degrees?
94° = 47π/90 radians ≈ 1.6406 rad. To convert degrees to radians, multiply by π/180: 94 × π/180 = 47π/90.
How do I measure a 94° angle on my screen?
Open the online protractor with 94° preset, or type 94 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
