At 211°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 149° angle: together they make a full 360° circle.
211° is 211/360 of a full circle, or 211π/180 radians. If you face north and turn 211° clockwise, you end up facing between SSW and SW (closest to south-southwest (SSW)).
211° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 149° |
| Radians | 211π/180 ≈ 3.682645 |
| Gradians | 234.4444 grad |
| Fraction of a turn | 211/360 (58.61%) |
| Degrees, minutes, seconds | 211° 0′ 0″ |
| Compass bearing | between SSW and SW (closest to south-southwest (SSW)) |
Trigonometric values of 211°
| Function | Value |
|---|---|
| sin 211° | −0.515038 |
| cos 211° | −0.857167 |
| tan 211° | 0.600861 |
211° on a protractor
How to draw a 211° angle with a protractor
- Subtract from 360°: 360° − 211° = 149°. 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 149°.
- Join the vertex to the dot. The inside angle is 149°; the outside angle, going the long way around, is 211°. Draw the angle arc on the outside and label it 211°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 211° directly.
Drawing it a 211° angle without a protractor (rise and run method)
- 211° = 180° − 31°. Draw a straight line, pick a vertex on it, and build a 31° angle on one side as follows; the angle on the other side of the new line is 149°.
- 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 6.01 inches (about 6″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 31°, because tan 31° ≈ 0.6009.
- That gives you 149°. The outside (reflex) angle is 211°.
Where you see 211° angles
- The Earth turns 211° on its axis in about 14 h 4 min.
- A 211° 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
211° angle FAQ
What type of angle is 211°?
A 211° angle is a reflex angle, because it is between 180° and 360°.
Does a 211° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 211° is already larger than both. What it does have is an explement (conjugate) of 149°, the angle that completes a full 360° circle.
How many radians is 211 degrees?
211° = 211π/180 radians ≈ 3.6826 rad. To convert degrees to radians, multiply by π/180: 211 × π/180 = 211π/180.
How do I measure a 211° angle on my screen?
Open the online protractor with 211° preset, or type 211 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
