At 262°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 98° angle: together they make a full 360° circle.
262° is 131/180 of a full circle, or 131π/90 radians. If you face north and turn 262° clockwise, you end up facing between WSW and W (closest to west (W)).
262° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 98° |
| Radians | 131π/90 ≈ 4.572763 |
| Gradians | 291.1111 grad |
| Fraction of a turn | 131/180 (72.78%) |
| Degrees, minutes, seconds | 262° 0′ 0″ |
| Compass bearing | between WSW and W (closest to west (W)) |
Trigonometric values of 262°
| Function | Value |
|---|---|
| sin 262° | −0.990268 |
| cos 262° | −0.139173 |
| tan 262° | 7.11537 |
262° on a protractor
How to draw a 262° angle with a protractor
- Subtract from 360°: 360° − 262° = 98°. 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 98°.
- Join the vertex to the dot. The inside angle is 98°; the outside angle, going the long way around, is 262°. Draw the angle arc on the outside and label it 262°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 262° directly.
Drawing it a 262° angle without a protractor (rise and run method)
- 262° = 180° − 82°. Draw a straight line, pick a vertex on it, and build an 82° angle on one side as follows; the angle on the other side of the new line is 98°.
- Draw a straight baseline and measure 1.41 inches (about 1 3/8″) 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 82°, because tan 82° ≈ 7.1154.
- That gives you 98°. The outside (reflex) angle is 262°.
Where you see 262° angles
- The Earth turns 262° on its axis in about 17 h 28 min.
- A 262° 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
262° angle FAQ
What type of angle is 262°?
A 262° angle is a reflex angle, because it is between 180° and 360°.
Does a 262° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 262° is already larger than both. What it does have is an explement (conjugate) of 98°, the angle that completes a full 360° circle.
How many radians is 262 degrees?
262° = 131π/90 radians ≈ 4.5728 rad. To convert degrees to radians, multiply by π/180: 262 × π/180 = 131π/90.
How do I measure a 262° angle on my screen?
Open the online protractor with 262° preset, or type 262 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
