At 319°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 41° angle: together they make a full 360° circle.
319° is 319/360 of a full circle, or 319π/180 radians. If you face north and turn 319° clockwise, you end up facing between NW and NNW (closest to northwest (NW)).
319° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 41° |
| Radians | 319π/180 ≈ 5.5676 |
| Gradians | 354.4444 grad |
| Fraction of a turn | 319/360 (88.61%) |
| Degrees, minutes, seconds | 319° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to northwest (NW)) |
Trigonometric values of 319°
| Function | Value |
|---|---|
| sin 319° | −0.656059 |
| cos 319° | 0.75471 |
| tan 319° | −0.869287 |
319° on a protractor
How to draw a 319° angle with a protractor
- Subtract from 360°: 360° − 319° = 41°. 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 41°.
- Join the vertex to the dot. The inside angle is 41°; the outside angle, going the long way around, is 319°. Draw the angle arc on the outside and label it 319°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 319° directly.
Drawing it a 319° 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 8.69 inches (about 8 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 41°, because tan 41° ≈ 0.8693.
- That gives you 41°. The outside (reflex) angle is 319°.
Where you see 319° angles
- The Earth turns 319° on its axis in about 21 h 16 min.
- A 319° 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
319° angle FAQ
What type of angle is 319°?
A 319° angle is a reflex angle, because it is between 180° and 360°.
Does a 319° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 319° is already larger than both. What it does have is an explement (conjugate) of 41°, the angle that completes a full 360° circle.
How many radians is 319 degrees?
319° = 319π/180 radians ≈ 5.5676 rad. To convert degrees to radians, multiply by π/180: 319 × π/180 = 319π/180.
How do I measure a 319° angle on my screen?
Open the online protractor with 319° preset, or type 319 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
