A 290° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 70° angle: together they make a full 360° circle.
290° is 29/36 of a full circle, or 29π/18 radians. If you face north and turn 290° clockwise, you end up facing between W and WNW (closest to west-northwest (WNW)).
290° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 70° |
| Radians | 29π/18 ≈ 5.061455 |
| Gradians | 322.2222 grad |
| Fraction of a turn | 29/36 (80.56%) |
| Degrees, minutes, seconds | 290° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west-northwest (WNW)) |
Trigonometric values of 290°
| Function | Value |
|---|---|
| sin 290° | −0.939693 |
| cos 290° | 0.34202 |
| tan 290° | −2.747477 |
290° on a protractor
How to draw a 290° angle with a protractor
- Subtract from 360°: 360° − 290° = 70°. 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 70°.
- Join the vertex to the dot. The inside angle is 70°; the outside angle, going the long way around, is 290°. Draw the angle arc on the outside and label it 290°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 290° directly.
Drawing it a 290° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 3.64 inches (about 3 5/8″) 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 70°, because tan 70° ≈ 2.7475.
- That gives you 70°. The outside (reflex) angle is 290°.
Where you see 290° angles
- The Earth turns 290° on its axis in about 19 h 20 min.
- A 290° 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
290° angle FAQ
What type of angle is 290°?
A 290° angle is a reflex angle, because it is between 180° and 360°.
Does a 290° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 290° is already larger than both. What it does have is an explement (conjugate) of 70°, the angle that completes a full 360° circle.
How many radians is 290 degrees?
290° = 29π/18 radians ≈ 5.0615 rad. To convert degrees to radians, multiply by π/180: 290 × π/180 = 29π/18.
How do I measure a 290° angle on my screen?
Open the online protractor with 290° preset, or type 290 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
