A 284° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 76° angle: together they make a full 360° circle.
284° is 71/90 of a full circle, or 71π/45 radians. If you face north and turn 284° clockwise, you end up facing between W and WNW (closest to west-northwest (WNW)).
284° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 76° |
| Radians | 71π/45 ≈ 4.956735 |
| Gradians | 315.5556 grad |
| Fraction of a turn | 71/90 (78.89%) |
| Degrees, minutes, seconds | 284° 0′ 0″ |
| Compass bearing | between W and WNW (closest to west-northwest (WNW)) |
Trigonometric values of 284°
| Function | Value |
|---|---|
| sin 284° | −0.970296 |
| cos 284° | 0.241922 |
| tan 284° | −4.010781 |
284° on a protractor
How to draw a 284° angle with a protractor
- Subtract from 360°: 360° − 284° = 76°. 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 76°.
- Join the vertex to the dot. The inside angle is 76°; the outside angle, going the long way around, is 284°. Draw the angle arc on the outside and label it 284°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 284° directly.
Drawing it a 284° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 2.49 inches (about 2 1/2″) 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 76°, because tan 76° ≈ 4.0108.
- That gives you 76°. The outside (reflex) angle is 284°.
Where you see 284° angles
- The Earth turns 284° on its axis in about 18 h 56 min.
- A 284° 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
284° angle FAQ
What type of angle is 284°?
A 284° angle is a reflex angle, because it is between 180° and 360°.
Does a 284° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 284° is already larger than both. What it does have is an explement (conjugate) of 76°, the angle that completes a full 360° circle.
How many radians is 284 degrees?
284° = 71π/45 radians ≈ 4.9567 rad. To convert degrees to radians, multiply by π/180: 284 × π/180 = 71π/45.
How do I measure a 284° angle on my screen?
Open the online protractor with 284° preset, or type 284 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
