A 92° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 88°, so a 92° angle and an 88° angle side by side make a straight line.
92° is 23/90 of a full circle, or 23π/45 radians. If you face north and turn 92° clockwise, you end up facing between E and ESE (closest to east (E)).
92° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 88° |
| Explement (adds to 360°) | 268° |
| Radians | 23π/45 ≈ 1.605703 |
| Gradians | 102.2222 grad |
| Fraction of a turn | 23/90 (25.56%) |
| Degrees, minutes, seconds | 92° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 92°
| Function | Value |
|---|---|
| sin 92° | 0.999391 |
| cos 92° | −0.034899 |
| tan 92° | −28.636253 |
92° on a protractor
How to draw a 92° 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 92° 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 92°.
Drawing it a 92° angle without a protractor (rise and run method)
- 92° = 180° − 88°. Draw a straight line, pick a vertex on it, and build an 88° angle on one side as follows; the angle on the other side of the new line is 92°.
- Draw a straight baseline and measure 0.35 inches (about 3/8″) 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 88°, because tan 88° ≈ 28.6363.
Where you see 92° angles
- The Earth turns 92° on its axis in about 6 h 8 min.
- Obtuse angles like 92° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
92° angle FAQ
What type of angle is 92°?
A 92° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 92°?
The supplement of 92° is 88°, because 92° + 88° = 180°. A 92° angle has no complement, because it is already larger than 90°.
How many radians is 92 degrees?
92° = 23π/45 radians ≈ 1.6057 rad. To convert degrees to radians, multiply by π/180: 92 × π/180 = 23π/45.
How do I measure a 92° angle on my screen?
Open the online protractor with 92° preset, or type 92 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
