A 254° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 106° angle: together they make a full 360° circle.
254° is 127/180 of a full circle, or 127π/90 radians. If you face north and turn 254° clockwise, you end up facing between WSW and W (closest to west-southwest (WSW)).
254° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 106° |
| Radians | 127π/90 ≈ 4.433136 |
| Gradians | 282.2222 grad |
| Fraction of a turn | 127/180 (70.56%) |
| Degrees, minutes, seconds | 254° 0′ 0″ |
| Compass bearing | between WSW and W (closest to west-southwest (WSW)) |
Trigonometric values of 254°
| Function | Value |
|---|---|
| sin 254° | −0.961262 |
| cos 254° | −0.275637 |
| tan 254° | 3.487414 |
254° on a protractor
How to draw a 254° angle with a protractor
- Subtract from 360°: 360° − 254° = 106°. 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 106°.
- Join the vertex to the dot. The inside angle is 106°; the outside angle, going the long way around, is 254°. Draw the angle arc on the outside and label it 254°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 254° directly.
Drawing it a 254° angle without a protractor (rise and run method)
- 254° = 180° − 74°. Draw a straight line, pick a vertex on it, and build a 74° angle on one side as follows; the angle on the other side of the new line is 106°.
- Draw a straight baseline and measure 2.87 inches (about 2 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 74°, because tan 74° ≈ 3.4874.
- That gives you 106°. The outside (reflex) angle is 254°.
Where you see 254° angles
- The Earth turns 254° on its axis in about 16 h 56 min.
- A 254° 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
254° angle FAQ
What type of angle is 254°?
A 254° angle is a reflex angle, because it is between 180° and 360°.
Does a 254° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 254° is already larger than both. What it does have is an explement (conjugate) of 106°, the angle that completes a full 360° circle.
How many radians is 254 degrees?
254° = 127π/90 radians ≈ 4.4331 rad. To convert degrees to radians, multiply by π/180: 254 × π/180 = 127π/90.
How do I measure a 254° angle on my screen?
Open the online protractor with 254° preset, or type 254 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
