At 250°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 110° angle: together they make a full 360° circle.
250° is 25/36 of a full circle, or 25π/18 radians. If you face north and turn 250° clockwise, you end up facing between WSW and W (closest to west-southwest (WSW)).
250° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 110° |
| Radians | 25π/18 ≈ 4.363323 |
| Gradians | 277.7778 grad |
| Fraction of a turn | 25/36 (69.44%) |
| Degrees, minutes, seconds | 250° 0′ 0″ |
| Compass bearing | between WSW and W (closest to west-southwest (WSW)) |
Trigonometric values of 250°
| Function | Value |
|---|---|
| sin 250° | −0.939693 |
| cos 250° | −0.34202 |
| tan 250° | 2.747477 |
250° on a protractor
How to draw a 250° angle with a protractor
- Subtract from 360°: 360° − 250° = 110°. 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 110°.
- Join the vertex to the dot. The inside angle is 110°; the outside angle, going the long way around, is 250°. Draw the angle arc on the outside and label it 250°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 250° directly.
Drawing it a 250° angle without a protractor (rise and run method)
- 250° = 180° − 70°. Draw a straight line, pick a vertex on it, and build a 70° angle on one side as follows; the angle on the other side of the new line is 110°.
- 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 110°. The outside (reflex) angle is 250°.
Where you see 250° angles
- The Earth turns 250° on its axis in about 16 h 40 min.
- A 250° 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
250° angle FAQ
What type of angle is 250°?
A 250° angle is a reflex angle, because it is between 180° and 360°.
Does a 250° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 250° is already larger than both. What it does have is an explement (conjugate) of 110°, the angle that completes a full 360° circle.
How many radians is 250 degrees?
250° = 25π/18 radians ≈ 4.3633 rad. To convert degrees to radians, multiply by π/180: 250 × π/180 = 25π/18.
How do I measure a 250° angle on my screen?
Open the online protractor with 250° preset, or type 250 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
