A 275° angle is reflex because it measures between 180° and 360°. It is the "outside" of an 85° angle: together they make a full 360° circle.
275° is 55/72 of a full circle, or 55π/36 radians. If you face north and turn 275° clockwise, you end up facing between W and WNW (closest to west (W)).
275° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 85° |
| Radians | 55π/36 ≈ 4.799655 |
| Gradians | 305.5556 grad |
| Fraction of a turn | 55/72 (76.39%) |
| Degrees, minutes, seconds | 275° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west (W)) |
Trigonometric values of 275°
| Function | Value |
|---|---|
| sin 275° | −0.996195 |
| cos 275° | 0.087156 |
| tan 275° | −11.430052 |
275° on a protractor
How to draw a 275° angle with a protractor
- Subtract from 360°: 360° − 275° = 85°. 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 85°.
- Join the vertex to the dot. The inside angle is 85°; the outside angle, going the long way around, is 275°. Draw the angle arc on the outside and label it 275°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 275° directly.
Drawing it a 275° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 0.87 inches (about 7/8″) 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 85°, because tan 85° ≈ 11.4301.
- That gives you 85°. The outside (reflex) angle is 275°.
Where you see 275° angles
- The Earth turns 275° on its axis in about 18 h 20 min.
- A 275° 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
275° angle FAQ
What type of angle is 275°?
A 275° angle is a reflex angle, because it is between 180° and 360°.
Does a 275° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 275° is already larger than both. What it does have is an explement (conjugate) of 85°, the angle that completes a full 360° circle.
How many radians is 275 degrees?
275° = 55π/36 radians ≈ 4.7997 rad. To convert degrees to radians, multiply by π/180: 275 × π/180 = 55π/36.
How do I measure a 275° angle on my screen?
Open the online protractor with 275° preset, or type 275 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
