At 283°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 77° angle: together they make a full 360° circle.
283° is 283/360 of a full circle, or 283π/180 radians. If you face north and turn 283° clockwise, you end up facing between W and WNW (closest to west-northwest (WNW)).
283° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 77° |
| Radians | 283π/180 ≈ 4.939282 |
| Gradians | 314.4444 grad |
| Fraction of a turn | 283/360 (78.61%) |
| Degrees, minutes, seconds | 283° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west-northwest (WNW)) |
Trigonometric values of 283°
| Function | Value |
|---|---|
| sin 283° | −0.97437 |
| cos 283° | 0.224951 |
| tan 283° | −4.331476 |
283° on a protractor
How to draw a 283° angle with a protractor
- Subtract from 360°: 360° − 283° = 77°. 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 77°.
- Join the vertex to the dot. The inside angle is 77°; the outside angle, going the long way around, is 283°. Draw the angle arc on the outside and label it 283°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 283° directly.
Drawing it a 283° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 2.31 inches (about 2 5/16″) 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 77°, because tan 77° ≈ 4.3315.
- That gives you 77°. The outside (reflex) angle is 283°.
Where you see 283° angles
- The Earth turns 283° on its axis in about 18 h 52 min.
- A 283° 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
283° angle FAQ
What type of angle is 283°?
A 283° angle is a reflex angle, because it is between 180° and 360°.
Does a 283° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 283° is already larger than both. What it does have is an explement (conjugate) of 77°, the angle that completes a full 360° circle.
How many radians is 283 degrees?
283° = 283π/180 radians ≈ 4.9393 rad. To convert degrees to radians, multiply by π/180: 283 × π/180 = 283π/180.
How do I measure a 283° angle on my screen?
Open the online protractor with 283° preset, or type 283 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
