At 214°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 146° angle: together they make a full 360° circle.
214° is 107/180 of a full circle, or 107π/90 radians. If you face north and turn 214° clockwise, you end up facing between SSW and SW (closest to southwest (SW)).
214° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 146° |
| Radians | 107π/90 ≈ 3.735005 |
| Gradians | 237.7778 grad |
| Fraction of a turn | 107/180 (59.44%) |
| Degrees, minutes, seconds | 214° 0′ 0″ |
| Compass bearing | between SSW and SW (closest to southwest (SW)) |
Trigonometric values of 214°
| Function | Value |
|---|---|
| sin 214° | −0.559193 |
| cos 214° | −0.829038 |
| tan 214° | 0.674509 |
214° on a protractor
How to draw a 214° angle with a protractor
- Subtract from 360°: 360° − 214° = 146°. A standard protractor only goes to 180°, so you draw the smaller angle first.
- Draw a straight line with a ruler and mark the vertex at one end.
- Place the protractor's center mark on the vertex, line up the 0° baseline with your line, and make a dot at 146°.
- Join the vertex to the dot. The inside angle is 146°; the outside angle, going the long way around, is 214°. Draw the angle arc on the outside and label it 214°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 214° directly.
Drawing it a 214° angle without a protractor (rise and run method)
- 214° = 180° − 34°. Draw a straight line, pick a vertex on it, and build a 34° angle on one side as follows; the angle on the other side of the new line is 146°.
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 6.75 inches (about 6 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 34°, because tan 34° ≈ 0.6745.
- That gives you 146°. The outside (reflex) angle is 214°.
Where you see 214° angles
- The Earth turns 214° on its axis in about 14 h 16 min.
- A 214° reflex angle is what you measure when you go the "long way" around, like the outside corner of a building or a turn of more than half a circle.
Related angles
214° angle FAQ
What type of angle is 214°?
A 214° angle is a reflex angle, because it is between 180° and 360°.
Does a 214° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 214° is already larger than both. What it does have is an explement (conjugate) of 146°, the angle that completes a full 360° circle.
How many radians is 214 degrees?
214° = 107π/90 radians ≈ 3.735 rad. To convert degrees to radians, multiply by π/180: 214 × π/180 = 107π/90.
How do I measure a 214° angle on my screen?
Open the online protractor with 214° preset, or type 214 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
