At 316°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 44° angle: together they make a full 360° circle.
316° is 79/90 of a full circle, or 79π/45 radians. If you face north and turn 316° clockwise, you end up facing between NW and NNW (closest to northwest (NW)).
316° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 44° |
| Radians | 79π/45 ≈ 5.51524 |
| Gradians | 351.1111 grad |
| Fraction of a turn | 79/90 (87.78%) |
| Degrees, minutes, seconds | 316° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to northwest (NW)) |
Trigonometric values of 316°
| Function | Value |
|---|---|
| sin 316° | −0.694658 |
| cos 316° | 0.71934 |
| tan 316° | −0.965689 |
316° on a protractor
How to draw a 316° angle with a protractor
- Subtract from 360°: 360° − 316° = 44°. 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 44°.
- Join the vertex to the dot. The inside angle is 44°; the outside angle, going the long way around, is 316°. Draw the angle arc on the outside and label it 316°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 316° directly.
Drawing it a 316° 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 9.66 inches (about 9 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 44°, because tan 44° ≈ 0.9657.
- That gives you 44°. The outside (reflex) angle is 316°.
Where you see 316° angles
- The Earth turns 316° on its axis in about 21 h 4 min.
- A 316° 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
316° angle FAQ
What type of angle is 316°?
A 316° angle is a reflex angle, because it is between 180° and 360°.
Does a 316° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 316° is already larger than both. What it does have is an explement (conjugate) of 44°, the angle that completes a full 360° circle.
How many radians is 316 degrees?
316° = 79π/45 radians ≈ 5.5152 rad. To convert degrees to radians, multiply by π/180: 316 × π/180 = 79π/45.
How do I measure a 316° angle on my screen?
Open the online protractor with 316° preset, or type 316 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
