A 293° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 67° angle: together they make a full 360° circle.
293° is 293/360 of a full circle, or 293π/180 radians. If you face north and turn 293° clockwise, you end up facing between WNW and NW (closest to west-northwest (WNW)).
293° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 67° |
| Radians | 293π/180 ≈ 5.113815 |
| Gradians | 325.5556 grad |
| Fraction of a turn | 293/360 (81.39%) |
| Degrees, minutes, seconds | 293° 0′ 0″ |
| Compass bearing | between WNW and NW (closest to west-northwest (WNW)) |
Trigonometric values of 293°
| Function | Value |
|---|---|
| sin 293° | −0.920505 |
| cos 293° | 0.390731 |
| tan 293° | −2.355852 |
293° on a protractor
How to draw a 293° angle with a protractor
- Subtract from 360°: 360° − 293° = 67°. 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 67°.
- Join the vertex to the dot. The inside angle is 67°; the outside angle, going the long way around, is 293°. Draw the angle arc on the outside and label it 293°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 293° directly.
Drawing it a 293° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 4.24 inches (about 4 1/4″) 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 67°, because tan 67° ≈ 2.3559.
- That gives you 67°. The outside (reflex) angle is 293°.
Where you see 293° angles
- The Earth turns 293° on its axis in about 19 h 32 min.
- A 293° 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
293° angle FAQ
What type of angle is 293°?
A 293° angle is a reflex angle, because it is between 180° and 360°.
Does a 293° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 293° is already larger than both. What it does have is an explement (conjugate) of 67°, the angle that completes a full 360° circle.
How many radians is 293 degrees?
293° = 293π/180 radians ≈ 5.1138 rad. To convert degrees to radians, multiply by π/180: 293 × π/180 = 293π/180.
How do I measure a 293° angle on my screen?
Open the online protractor with 293° preset, or type 293 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
