A 276° 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 an 84° angle: together they make a full 360° circle.
276° is 23/30 of a full circle, or 23π/15 radians. The minute hand of a clock sweeps 276° in 46 minutes. If you face north and turn 276° clockwise, you end up facing between W and WNW (closest to west (W)).
276° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 84° |
| Radians | 23π/15 ≈ 4.817109 |
| Gradians | 306.6667 grad |
| Fraction of a turn | 23/30 (76.67%) |
| Degrees, minutes, seconds | 276° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west (W)) |
Trigonometric values of 276°
| Function | Value |
|---|---|
| sin 276° | −0.994522 |
| cos 276° | 0.104528 |
| tan 276° | −9.514364 |
276° on a protractor
How to draw a 276° angle with a protractor
- Subtract from 360°: 360° − 276° = 84°. 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 84°.
- Join the vertex to the dot. The inside angle is 84°; the outside angle, going the long way around, is 276°. Draw the angle arc on the outside and label it 276°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 276° directly.
Drawing it a 276° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 1.05 inches (about 1 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 84°, because tan 84° ≈ 9.5144.
- That gives you 84°. The outside (reflex) angle is 276°.
Where you see 276° angles
- The Earth turns 276° on its axis in about 18 h 24 min.
- A 276° 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
276° angle FAQ
What type of angle is 276°?
A 276° angle is a reflex angle, because it is between 180° and 360°.
Does a 276° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 276° is already larger than both. What it does have is an explement (conjugate) of 84°, the angle that completes a full 360° circle.
How many radians is 276 degrees?
276° = 23π/15 radians ≈ 4.8171 rad. To convert degrees to radians, multiply by π/180: 276 × π/180 = 23π/15.
How do I measure a 276° angle on my screen?
Open the online protractor with 276° preset, or type 276 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
