At 184°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 176° angle: together they make a full 360° circle.
184° is 23/45 of a full circle, or 46π/45 radians. If you face north and turn 184° clockwise, you end up facing between S and SSW (closest to south (S)).
184° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 176° |
| Radians | 46π/45 ≈ 3.211406 |
| Gradians | 204.4444 grad |
| Fraction of a turn | 23/45 (51.11%) |
| Degrees, minutes, seconds | 184° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south (S)) |
Trigonometric values of 184°
| Function | Value |
|---|---|
| sin 184° | −0.069756 |
| cos 184° | −0.997564 |
| tan 184° | 0.069927 |
184° on a protractor
How to draw a 184° angle with a protractor
- Subtract from 360°: 360° − 184° = 176°. 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 176°.
- Join the vertex to the dot. The inside angle is 176°; the outside angle, going the long way around, is 184°. Draw the angle arc on the outside and label it 184°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 184° directly.
Drawing it a 184° angle without a protractor (rise and run method)
- 184° = 180° − 4°. Draw a straight line, pick a vertex on it, and build a 4° angle on one side as follows; the angle on the other side of the new line is 176°.
- 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 0.7 inches (about 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 4°, because tan 4° ≈ 0.0699.
- That gives you 176°. The outside (reflex) angle is 184°.
Where you see 184° angles
- The Earth turns 184° on its axis in about 12 h 16 min.
- A 184° 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
184° angle FAQ
What type of angle is 184°?
A 184° angle is a reflex angle, because it is between 180° and 360°.
Does a 184° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 184° is already larger than both. What it does have is an explement (conjugate) of 176°, the angle that completes a full 360° circle.
How many radians is 184 degrees?
184° = 46π/45 radians ≈ 3.2114 rad. To convert degrees to radians, multiply by π/180: 184 × π/180 = 46π/45.
How do I measure a 184° angle on my screen?
Open the online protractor with 184° preset, or type 184 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
