A 341° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 19° angle: together they make a full 360° circle.
341° is 341/360 of a full circle, or 341π/180 radians. If you face north and turn 341° clockwise, you end up facing between NNW and N (closest to north-northwest (NNW)).
341° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 19° |
| Radians | 341π/180 ≈ 5.951573 |
| Gradians | 378.8889 grad |
| Fraction of a turn | 341/360 (94.72%) |
| Degrees, minutes, seconds | 341° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north-northwest (NNW)) |
Trigonometric values of 341°
| Function | Value |
|---|---|
| sin 341° | −0.325568 |
| cos 341° | 0.945519 |
| tan 341° | −0.344328 |
341° on a protractor
How to draw a 341° angle with a protractor
- Subtract from 360°: 360° − 341° = 19°. 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 19°.
- Join the vertex to the dot. The inside angle is 19°; the outside angle, going the long way around, is 341°. Draw the angle arc on the outside and label it 341°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 341° directly.
Drawing it a 341° 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 3.44 inches (about 3 7/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 19°, because tan 19° ≈ 0.3443.
- That gives you 19°. The outside (reflex) angle is 341°.
Where you see 341° angles
- The Earth turns 341° on its axis in about 22 h 44 min.
- A 341° 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
341° angle FAQ
What type of angle is 341°?
A 341° angle is a reflex angle, because it is between 180° and 360°.
Does a 341° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 341° is already larger than both. What it does have is an explement (conjugate) of 19°, the angle that completes a full 360° circle.
How many radians is 341 degrees?
341° = 341π/180 radians ≈ 5.9516 rad. To convert degrees to radians, multiply by π/180: 341 × π/180 = 341π/180.
How do I measure a 341° angle on my screen?
Open the online protractor with 341° preset, or type 341 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
