At 226°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 134° angle: together they make a full 360° circle.
226° is 113/180 of a full circle, or 113π/90 radians. If you face north and turn 226° clockwise, you end up facing between SW and WSW (closest to southwest (SW)).
226° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 134° |
| Radians | 113π/90 ≈ 3.944444 |
| Gradians | 251.1111 grad |
| Fraction of a turn | 113/180 (62.78%) |
| Degrees, minutes, seconds | 226° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to southwest (SW)) |
Trigonometric values of 226°
| Function | Value |
|---|---|
| sin 226° | −0.71934 |
| cos 226° | −0.694658 |
| tan 226° | 1.03553 |
226° on a protractor
How to draw a 226° angle with a protractor
- Subtract from 360°: 360° − 226° = 134°. 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 134°.
- Join the vertex to the dot. The inside angle is 134°; the outside angle, going the long way around, is 226°. Draw the angle arc on the outside and label it 226°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 226° directly.
Drawing it a 226° angle without a protractor (rise and run method)
- 226° = 180° − 46°. Draw a straight line, pick a vertex on it, and build a 46° angle on one side as follows; the angle on the other side of the new line is 134°.
- Draw a straight baseline and measure 9.66 inches (about 9 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 46°, because tan 46° ≈ 1.0355.
- That gives you 134°. The outside (reflex) angle is 226°.
Where you see 226° angles
- The Earth turns 226° on its axis in about 15 h 4 min.
- A 226° 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
226° angle FAQ
What type of angle is 226°?
A 226° angle is a reflex angle, because it is between 180° and 360°.
Does a 226° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 226° is already larger than both. What it does have is an explement (conjugate) of 134°, the angle that completes a full 360° circle.
How many radians is 226 degrees?
226° = 113π/90 radians ≈ 3.9444 rad. To convert degrees to radians, multiply by π/180: 226 × π/180 = 113π/90.
How do I measure a 226° angle on my screen?
Open the online protractor with 226° preset, or type 226 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
