A 201° angle is a reflex angle: it is bigger than a straight line (180°) but less than a full turn (360°). It is the "outside" of a 159° angle: together they make a full 360° circle.
201° is 67/120 of a full circle, or 67π/60 radians. If you face north and turn 201° clockwise, you end up facing between S and SSW (closest to south-southwest (SSW)).
201° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 159° |
| Radians | 67π/60 ≈ 3.508112 |
| Gradians | 223.3333 grad |
| Fraction of a turn | 67/120 (55.83%) |
| Degrees, minutes, seconds | 201° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south-southwest (SSW)) |
Trigonometric values of 201°
| Function | Value |
|---|---|
| sin 201° | −0.358368 |
| cos 201° | −0.93358 |
| tan 201° | 0.383864 |
201° on a protractor
How to draw a 201° angle with a protractor
- Subtract from 360°: 360° − 201° = 159°. 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 159°.
- Join the vertex to the dot. The inside angle is 159°; the outside angle, going the long way around, is 201°. Draw the angle arc on the outside and label it 201°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 201° directly.
Drawing it a 201° angle without a protractor (rise and run method)
- 201° = 180° − 21°. Draw a straight line, pick a vertex on it, and build a 21° angle on one side as follows; the angle on the other side of the new line is 159°.
- 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 3.84 inches (about 3 13/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 21°, because tan 21° ≈ 0.3839.
- That gives you 159°. The outside (reflex) angle is 201°.
Where you see 201° angles
- The Earth turns 201° on its axis in about 13 h 24 min.
- A 201° 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
201° angle FAQ
What type of angle is 201°?
A 201° angle is a reflex angle, because it is between 180° and 360°.
Does a 201° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 201° is already larger than both. What it does have is an explement (conjugate) of 159°, the angle that completes a full 360° circle.
How many radians is 201 degrees?
201° = 67π/60 radians ≈ 3.5081 rad. To convert degrees to radians, multiply by π/180: 201 × π/180 = 67π/60.
How do I measure a 201° angle on my screen?
Open the online protractor with 201° preset, or type 201 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
