A 183° 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 177° angle: together they make a full 360° circle.
183° is 61/120 of a full circle, or 61π/60 radians. If you face north and turn 183° clockwise, you end up facing between S and SSW (closest to south (S)).
183° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 177° |
| Radians | 61π/60 ≈ 3.193953 |
| Gradians | 203.3333 grad |
| Fraction of a turn | 61/120 (50.83%) |
| Degrees, minutes, seconds | 183° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south (S)) |
Trigonometric values of 183°
| Function | Value |
|---|---|
| sin 183° | −0.052336 |
| cos 183° | −0.99863 |
| tan 183° | 0.052408 |
183° on a protractor
How to draw a 183° angle with a protractor
- Subtract from 360°: 360° − 183° = 177°. 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 177°.
- Join the vertex to the dot. The inside angle is 177°; the outside angle, going the long way around, is 183°. Draw the angle arc on the outside and label it 183°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 183° directly.
Drawing it a 183° angle without a protractor (rise and run method)
- 183° = 180° − 3°. Draw a straight line, pick a vertex on it, and build a 3° angle on one side as follows; the angle on the other side of the new line is 177°.
- 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 0.52 inches (about 1/2″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 3°, because tan 3° ≈ 0.0524.
- That gives you 177°. The outside (reflex) angle is 183°.
Where you see 183° angles
- The Earth turns 183° on its axis in about 12 h 12 min.
- A 183° 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
183° angle FAQ
What type of angle is 183°?
A 183° angle is a reflex angle, because it is between 180° and 360°.
Does a 183° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 183° is already larger than both. What it does have is an explement (conjugate) of 177°, the angle that completes a full 360° circle.
How many radians is 183 degrees?
183° = 61π/60 radians ≈ 3.194 rad. To convert degrees to radians, multiply by π/180: 183 × π/180 = 61π/60.
How do I measure a 183° angle on my screen?
Open the online protractor with 183° preset, or type 183 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
