A 294° 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 66° angle: together they make a full 360° circle.
294° is 49/60 of a full circle, or 49π/30 radians. The minute hand of a clock sweeps 294° in 49 minutes. If you face north and turn 294° clockwise, you end up facing between WNW and NW (closest to west-northwest (WNW)).
294° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 66° |
| Radians | 49π/30 ≈ 5.131268 |
| Gradians | 326.6667 grad |
| Fraction of a turn | 49/60 (81.67%) |
| Degrees, minutes, seconds | 294° 0′ 0″ |
| Compass bearing | between WNW and NW (closest to west-northwest (WNW)) |
Trigonometric values of 294°
| Function | Value |
|---|---|
| sin 294° | −0.913545 |
| cos 294° | 0.406737 |
| tan 294° | −2.246037 |
294° on a protractor
How to draw a 294° angle with a protractor
- Subtract from 360°: 360° − 294° = 66°. 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 66°.
- Join the vertex to the dot. The inside angle is 66°; the outside angle, going the long way around, is 294°. Draw the angle arc on the outside and label it 294°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 294° directly.
Drawing it a 294° angle without a protractor (rise and run method)
- 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 66°. The outside (reflex) angle is 294°.
Where you see 294° angles
- The Earth turns 294° on its axis in about 19 h 36 min.
- A 294° 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
294° angle FAQ
What type of angle is 294°?
A 294° angle is a reflex angle, because it is between 180° and 360°.
Does a 294° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 294° is already larger than both. What it does have is an explement (conjugate) of 66°, the angle that completes a full 360° circle.
How many radians is 294 degrees?
294° = 49π/30 radians ≈ 5.1313 rad. To convert degrees to radians, multiply by π/180: 294 × π/180 = 49π/30.
How do I measure a 294° angle on my screen?
Open the online protractor with 294° preset, or type 294 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
