At 112°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 68°, so a 112° angle and a 68° angle side by side make a straight line.
112° is 14/45 of a full circle, or 28π/45 radians. If you face north and turn 112° clockwise, you end up facing between E and ESE (closest to east-southeast (ESE)).
112° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 68° |
| Explement (adds to 360°) | 248° |
| Radians | 28π/45 ≈ 1.954769 |
| Gradians | 124.4444 grad |
| Fraction of a turn | 14/45 (31.11%) |
| Degrees, minutes, seconds | 112° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east-southeast (ESE)) |
Trigonometric values of 112°
| Function | Value |
|---|---|
| sin 112° | 0.927184 |
| cos 112° | −0.374607 |
| tan 112° | −2.475087 |
112° on a protractor
How to draw a 112° 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 112° 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 112°.
Drawing it a 112° angle without a protractor (rise and run method)
- 112° = 180° − 68°. Draw a straight line, pick a vertex on it, and build a 68° angle on one side as follows; the angle on the other side of the new line is 112°.
- Draw a straight baseline and measure 4.04 inches (about 4 1/16″) 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 68°, because tan 68° ≈ 2.4751.
Where you see 112° angles
- The Earth turns 112° on its axis in about 7 h 28 min.
- Obtuse angles like 112° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
112° angle FAQ
What type of angle is 112°?
A 112° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 112°?
The supplement of 112° is 68°, because 112° + 68° = 180°. A 112° angle has no complement, because it is already larger than 90°.
How many radians is 112 degrees?
112° = 28π/45 radians ≈ 1.9548 rad. To convert degrees to radians, multiply by π/180: 112 × π/180 = 28π/45.
How do I measure a 112° angle on my screen?
Open the online protractor with 112° preset, or type 112 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
