A 350° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 10° angle: together they make a full 360° circle.
350° is 35/36 of a full circle, or 35π/18 radians. If you face north and turn 350° clockwise, you end up facing between NNW and N (closest to north (N)).
350° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 10° |
| Radians | 35π/18 ≈ 6.108652 |
| Gradians | 388.8889 grad |
| Fraction of a turn | 35/36 (97.22%) |
| Degrees, minutes, seconds | 350° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north (N)) |
Trigonometric values of 350°
| Function | Value |
|---|---|
| sin 350° | −0.173648 |
| cos 350° | 0.984808 |
| tan 350° | −0.176327 |
350° on a protractor
How to draw a 350° angle with a protractor
- Subtract from 360°: 360° − 350° = 10°. 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 10°.
- Join the vertex to the dot. The inside angle is 10°; the outside angle, going the long way around, is 350°. Draw the angle arc on the outside and label it 350°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 350° directly.
Drawing it a 350° angle without a protractor (rise and run method)
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 1.76 inches (about 1 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 10°, because tan 10° ≈ 0.1763.
- That gives you 10°. The outside (reflex) angle is 350°.
Where you see 350° angles
- The Earth turns 350° on its axis in about 23 h 20 min.
- A 350° 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
350° angle FAQ
What type of angle is 350°?
A 350° angle is a reflex angle, because it is between 180° and 360°.
Does a 350° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 350° is already larger than both. What it does have is an explement (conjugate) of 10°, the angle that completes a full 360° circle.
How many radians is 350 degrees?
350° = 35π/18 radians ≈ 6.1087 rad. To convert degrees to radians, multiply by π/180: 350 × π/180 = 35π/18.
How do I measure a 350° angle on my screen?
Open the online protractor with 350° preset, or type 350 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
