A 296° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 64° angle: together they make a full 360° circle.
296° is 37/45 of a full circle, or 74π/45 radians. If you face north and turn 296° clockwise, you end up facing between WNW and NW (closest to west-northwest (WNW)).
296° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 64° |
| Radians | 74π/45 ≈ 5.166175 |
| Gradians | 328.8889 grad |
| Fraction of a turn | 37/45 (82.22%) |
| Degrees, minutes, seconds | 296° 0′ 0″ |
| Compass bearing | between WNW and NW (closest to west-northwest (WNW)) |
Trigonometric values of 296°
| Function | Value |
|---|---|
| sin 296° | −0.898794 |
| cos 296° | 0.438371 |
| tan 296° | −2.050304 |
296° on a protractor
How to draw a 296° angle with a protractor
- Subtract from 360°: 360° − 296° = 64°. 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 64°.
- Join the vertex to the dot. The inside angle is 64°; the outside angle, going the long way around, is 296°. Draw the angle arc on the outside and label it 296°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 296° directly.
Drawing it a 296° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 4.88 inches (about 4 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 64°, because tan 64° ≈ 2.0503.
- That gives you 64°. The outside (reflex) angle is 296°.
Where you see 296° angles
- The Earth turns 296° on its axis in about 19 h 44 min.
- A 296° 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
296° angle FAQ
What type of angle is 296°?
A 296° angle is a reflex angle, because it is between 180° and 360°.
Does a 296° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 296° is already larger than both. What it does have is an explement (conjugate) of 64°, the angle that completes a full 360° circle.
How many radians is 296 degrees?
296° = 74π/45 radians ≈ 5.1662 rad. To convert degrees to radians, multiply by π/180: 296 × π/180 = 74π/45.
How do I measure a 296° angle on my screen?
Open the online protractor with 296° preset, or type 296 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
