At 274°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of an 86° angle: together they make a full 360° circle.
274° is 137/180 of a full circle, or 137π/90 radians. If you face north and turn 274° clockwise, you end up facing between W and WNW (closest to west (W)).
274° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 86° |
| Radians | 137π/90 ≈ 4.782202 |
| Gradians | 304.4444 grad |
| Fraction of a turn | 137/180 (76.11%) |
| Degrees, minutes, seconds | 274° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west (W)) |
Trigonometric values of 274°
| Function | Value |
|---|---|
| sin 274° | −0.997564 |
| cos 274° | 0.069756 |
| tan 274° | −14.300666 |
274° on a protractor
How to draw a 274° angle with a protractor
- Subtract from 360°: 360° − 274° = 86°. 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 86°.
- Join the vertex to the dot. The inside angle is 86°; the outside angle, going the long way around, is 274°. Draw the angle arc on the outside and label it 274°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 274° directly.
Drawing it a 274° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 0.7 inches (about 11/16″) 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 86°, because tan 86° ≈ 14.3007.
- That gives you 86°. The outside (reflex) angle is 274°.
Where you see 274° angles
- The Earth turns 274° on its axis in about 18 h 16 min.
- A 274° 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
274° angle FAQ
What type of angle is 274°?
A 274° angle is a reflex angle, because it is between 180° and 360°.
Does a 274° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 274° is already larger than both. What it does have is an explement (conjugate) of 86°, the angle that completes a full 360° circle.
How many radians is 274 degrees?
274° = 137π/90 radians ≈ 4.7822 rad. To convert degrees to radians, multiply by π/180: 274 × π/180 = 137π/90.
How do I measure a 274° angle on my screen?
Open the online protractor with 274° preset, or type 274 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
