At 229°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 131° angle: together they make a full 360° circle.
229° is 229/360 of a full circle, or 229π/180 radians. If you face north and turn 229° clockwise, you end up facing between SW and WSW (closest to southwest (SW)).
229° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 131° |
| Radians | 229π/180 ≈ 3.996804 |
| Gradians | 254.4444 grad |
| Fraction of a turn | 229/360 (63.61%) |
| Degrees, minutes, seconds | 229° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to southwest (SW)) |
Trigonometric values of 229°
| Function | Value |
|---|---|
| sin 229° | −0.75471 |
| cos 229° | −0.656059 |
| tan 229° | 1.150368 |
229° on a protractor
How to draw a 229° angle with a protractor
- Subtract from 360°: 360° − 229° = 131°. 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 131°.
- Join the vertex to the dot. The inside angle is 131°; the outside angle, going the long way around, is 229°. Draw the angle arc on the outside and label it 229°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 229° directly.
Drawing it a 229° angle without a protractor (rise and run method)
- 229° = 180° − 49°. Draw a straight line, pick a vertex on it, and build a 49° angle on one side as follows; the angle on the other side of the new line is 131°.
- Draw a straight baseline and measure 8.69 inches (about 8 11/16″) 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 49°, because tan 49° ≈ 1.1504.
- That gives you 131°. The outside (reflex) angle is 229°.
Where you see 229° angles
- The Earth turns 229° on its axis in about 15 h 16 min.
- A 229° 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
229° angle FAQ
What type of angle is 229°?
A 229° angle is a reflex angle, because it is between 180° and 360°.
Does a 229° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 229° is already larger than both. What it does have is an explement (conjugate) of 131°, the angle that completes a full 360° circle.
How many radians is 229 degrees?
229° = 229π/180 radians ≈ 3.9968 rad. To convert degrees to radians, multiply by π/180: 229 × π/180 = 229π/180.
How do I measure a 229° angle on my screen?
Open the online protractor with 229° preset, or type 229 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
