A 246° angle is a reflex angle: it is bigger than a straight line (180°) but less than a full turn (360°). It is the "outside" of a 114° angle: together they make a full 360° circle.
246° is 41/60 of a full circle, or 41π/30 radians. The minute hand of a clock sweeps 246° in 41 minutes. If you face north and turn 246° clockwise, you end up facing between SW and WSW (closest to west-southwest (WSW)).
246° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 114° |
| Radians | 41π/30 ≈ 4.29351 |
| Gradians | 273.3333 grad |
| Fraction of a turn | 41/60 (68.33%) |
| Degrees, minutes, seconds | 246° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to west-southwest (WSW)) |
Trigonometric values of 246°
| Function | Value |
|---|---|
| sin 246° | −0.913545 |
| cos 246° | −0.406737 |
| tan 246° | 2.246037 |
246° on a protractor
How to draw a 246° angle with a protractor
- Subtract from 360°: 360° − 246° = 114°. 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 114°.
- Join the vertex to the dot. The inside angle is 114°; the outside angle, going the long way around, is 246°. Draw the angle arc on the outside and label it 246°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 246° directly.
Drawing it a 246° angle without a protractor (rise and run method)
- 246° = 180° − 66°. Draw a straight line, pick a vertex on it, and build a 66° angle on one side as follows; the angle on the other side of the new line is 114°.
- Draw a straight baseline and measure 4.45 inches (about 4 7/16″) 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 66°, because tan 66° ≈ 2.246.
- That gives you 114°. The outside (reflex) angle is 246°.
Where you see 246° angles
- The Earth turns 246° on its axis in about 16 h 24 min.
- A 246° 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
246° angle FAQ
What type of angle is 246°?
A 246° angle is a reflex angle, because it is between 180° and 360°.
Does a 246° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 246° is already larger than both. What it does have is an explement (conjugate) of 114°, the angle that completes a full 360° circle.
How many radians is 246 degrees?
246° = 41π/30 radians ≈ 4.2935 rad. To convert degrees to radians, multiply by π/180: 246 × π/180 = 41π/30.
How do I measure a 246° angle on my screen?
Open the online protractor with 246° preset, or type 246 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
