At 304°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 56° angle: together they make a full 360° circle.
304° is 38/45 of a full circle, or 76π/45 radians. If you face north and turn 304° clockwise, you end up facing between WNW and NW (closest to northwest (NW)).
304° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 56° |
| Radians | 76π/45 ≈ 5.305801 |
| Gradians | 337.7778 grad |
| Fraction of a turn | 38/45 (84.44%) |
| Degrees, minutes, seconds | 304° 0′ 0″ |
| Compass bearing | between WNW and NW (closest to northwest (NW)) |
Trigonometric values of 304°
| Function | Value |
|---|---|
| sin 304° | −0.829038 |
| cos 304° | 0.559193 |
| tan 304° | −1.482561 |
304° on a protractor
How to draw a 304° angle with a protractor
- Subtract from 360°: 360° − 304° = 56°. 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 56°.
- Join the vertex to the dot. The inside angle is 56°; the outside angle, going the long way around, is 304°. Draw the angle arc on the outside and label it 304°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 304° directly.
Drawing it a 304° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 6.75 inches (about 6 3/4″) 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 56°, because tan 56° ≈ 1.4826.
- That gives you 56°. The outside (reflex) angle is 304°.
Where you see 304° angles
- The Earth turns 304° on its axis in about 20 h 16 min.
- A 304° 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
304° angle FAQ
What type of angle is 304°?
A 304° angle is a reflex angle, because it is between 180° and 360°.
Does a 304° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 304° is already larger than both. What it does have is an explement (conjugate) of 56°, the angle that completes a full 360° circle.
How many radians is 304 degrees?
304° = 76π/45 radians ≈ 5.3058 rad. To convert degrees to radians, multiply by π/180: 304 × π/180 = 76π/45.
How do I measure a 304° angle on my screen?
Open the online protractor with 304° preset, or type 304 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
