A 110° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 70°, so a 110° angle and a 70° angle side by side make a straight line.
110° is 11/36 of a full circle, or 11π/18 radians. If you face north and turn 110° clockwise, you end up facing between E and ESE (closest to east-southeast (ESE)).
110° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 70° |
| Explement (adds to 360°) | 250° |
| Radians | 11π/18 ≈ 1.919862 |
| Gradians | 122.2222 grad |
| Fraction of a turn | 11/36 (30.56%) |
| Degrees, minutes, seconds | 110° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east-southeast (ESE)) |
Trigonometric values of 110°
| Function | Value |
|---|---|
| sin 110° | 0.939693 |
| cos 110° | −0.34202 |
| tan 110° | −2.747477 |
110° on a protractor
How to draw a 110° 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 110° 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 110°.
Drawing it a 110° angle without a protractor (rise and run method)
- 110° = 180° − 70°. Draw a straight line, pick a vertex on it, and build a 70° angle on one side as follows; the angle on the other side of the new line is 110°.
- Draw a straight baseline and measure 3.64 inches (about 3 5/8″) 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 70°, because tan 70° ≈ 2.7475.
Where you see 110° angles
- The tetrahedral bond angle in methane (CH₄) is about 109.5°.
- The Earth turns 110° on its axis in about 7 h 20 min.
- Obtuse angles like 110° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
110° angle FAQ
What type of angle is 110°?
A 110° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 110°?
The supplement of 110° is 70°, because 110° + 70° = 180°. A 110° angle has no complement, because it is already larger than 90°.
How many radians is 110 degrees?
110° = 11π/18 radians ≈ 1.9199 rad. To convert degrees to radians, multiply by π/180: 110 × π/180 = 11π/18.
How do I measure a 110° angle on my screen?
Open the online protractor with 110° preset, or type 110 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
