At 292°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 68° angle: together they make a full 360° circle.
292° is 73/90 of a full circle, or 73π/45 radians. If you face north and turn 292° clockwise, you end up facing between W and WNW (closest to west-northwest (WNW)).
292° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 68° |
| Radians | 73π/45 ≈ 5.096361 |
| Gradians | 324.4444 grad |
| Fraction of a turn | 73/90 (81.11%) |
| Degrees, minutes, seconds | 292° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west-northwest (WNW)) |
Trigonometric values of 292°
| Function | Value |
|---|---|
| sin 292° | −0.927184 |
| cos 292° | 0.374607 |
| tan 292° | −2.475087 |
292° on a protractor
How to draw a 292° angle with a protractor
- Subtract from 360°: 360° − 292° = 68°. 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 68°.
- Join the vertex to the dot. The inside angle is 68°; the outside angle, going the long way around, is 292°. Draw the angle arc on the outside and label it 292°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 292° directly.
Drawing it a 292° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 4.04 inches (about 4 1/16″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 68°, because tan 68° ≈ 2.4751.
- That gives you 68°. The outside (reflex) angle is 292°.
Where you see 292° angles
- The Earth turns 292° on its axis in about 19 h 28 min.
- A 292° 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
292° angle FAQ
What type of angle is 292°?
A 292° angle is a reflex angle, because it is between 180° and 360°.
Does a 292° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 292° is already larger than both. What it does have is an explement (conjugate) of 68°, the angle that completes a full 360° circle.
How many radians is 292 degrees?
292° = 73π/45 radians ≈ 5.0964 rad. To convert degrees to radians, multiply by π/180: 292 × π/180 = 73π/45.
How do I measure a 292° angle on my screen?
Open the online protractor with 292° preset, or type 292 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
