At 277°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of an 83° angle: together they make a full 360° circle.
277° is 277/360 of a full circle, or 277π/180 radians. If you face north and turn 277° clockwise, you end up facing between W and WNW (closest to west (W)).
277° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 83° |
| Radians | 277π/180 ≈ 4.834562 |
| Gradians | 307.7778 grad |
| Fraction of a turn | 277/360 (76.94%) |
| Degrees, minutes, seconds | 277° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west (W)) |
Trigonometric values of 277°
| Function | Value |
|---|---|
| sin 277° | −0.992546 |
| cos 277° | 0.121869 |
| tan 277° | −8.144346 |
277° on a protractor
How to draw a 277° angle with a protractor
- Subtract from 360°: 360° − 277° = 83°. 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 83°.
- Join the vertex to the dot. The inside angle is 83°; the outside angle, going the long way around, is 277°. Draw the angle arc on the outside and label it 277°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 277° directly.
Drawing it a 277° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 1.23 inches (about 1 1/4″) 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 83°, because tan 83° ≈ 8.1443.
- That gives you 83°. The outside (reflex) angle is 277°.
Where you see 277° angles
- The Earth turns 277° on its axis in about 18 h 28 min.
- A 277° 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
277° angle FAQ
What type of angle is 277°?
A 277° angle is a reflex angle, because it is between 180° and 360°.
Does a 277° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 277° is already larger than both. What it does have is an explement (conjugate) of 83°, the angle that completes a full 360° circle.
How many radians is 277 degrees?
277° = 277π/180 radians ≈ 4.8346 rad. To convert degrees to radians, multiply by π/180: 277 × π/180 = 277π/180.
How do I measure a 277° angle on my screen?
Open the online protractor with 277° preset, or type 277 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
