At 235°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 125° angle: together they make a full 360° circle.
235° is 47/72 of a full circle, or 47π/36 radians. If you face north and turn 235° clockwise, you end up facing between SW and WSW (closest to southwest (SW)).
235° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 125° |
| Radians | 47π/36 ≈ 4.101524 |
| Gradians | 261.1111 grad |
| Fraction of a turn | 47/72 (65.28%) |
| Degrees, minutes, seconds | 235° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to southwest (SW)) |
Trigonometric values of 235°
| Function | Value |
|---|---|
| sin 235° | −0.819152 |
| cos 235° | −0.573576 |
| tan 235° | 1.428148 |
235° on a protractor
How to draw a 235° angle with a protractor
- Subtract from 360°: 360° − 235° = 125°. 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 125°.
- Join the vertex to the dot. The inside angle is 125°; the outside angle, going the long way around, is 235°. Draw the angle arc on the outside and label it 235°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 235° directly.
Drawing it a 235° angle without a protractor (rise and run method)
- 235° = 180° − 55°. Draw a straight line, pick a vertex on it, and build a 55° angle on one side as follows; the angle on the other side of the new line is 125°.
- Draw a straight baseline and measure 7 inches (about 7″) 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 55°, because tan 55° ≈ 1.4281.
- That gives you 125°. The outside (reflex) angle is 235°.
Where you see 235° angles
- The Earth turns 235° on its axis in about 15 h 40 min.
- A 235° 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
235° angle FAQ
What type of angle is 235°?
A 235° angle is a reflex angle, because it is between 180° and 360°.
Does a 235° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 235° is already larger than both. What it does have is an explement (conjugate) of 125°, the angle that completes a full 360° circle.
How many radians is 235 degrees?
235° = 47π/36 radians ≈ 4.1015 rad. To convert degrees to radians, multiply by π/180: 235 × π/180 = 47π/36.
How do I measure a 235° angle on my screen?
Open the online protractor with 235° preset, or type 235 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
