A 348° 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 12° angle: together they make a full 360° circle.
348° is 29/30 of a full circle, or 29π/15 radians. The minute hand of a clock sweeps 348° in 58 minutes. If you face north and turn 348° clockwise, you end up facing between NNW and N (closest to north-northwest (NNW)).
348° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 12° |
| Radians | 29π/15 ≈ 6.073746 |
| Gradians | 386.6667 grad |
| Fraction of a turn | 29/30 (96.67%) |
| Degrees, minutes, seconds | 348° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north-northwest (NNW)) |
Trigonometric values of 348°
| Function | Value |
|---|---|
| sin 348° | −0.207912 |
| cos 348° | 0.978148 |
| tan 348° | −0.212557 |
348° on a protractor
How to draw a 348° angle with a protractor
- Subtract from 360°: 360° − 348° = 12°. 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 12°.
- Join the vertex to the dot. The inside angle is 12°; the outside angle, going the long way around, is 348°. Draw the angle arc on the outside and label it 348°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 348° directly.
Drawing it a 348° angle without a protractor (rise and run method)
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 2.13 inches (about 2 1/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 12°, because tan 12° ≈ 0.2126.
- That gives you 12°. The outside (reflex) angle is 348°.
Where you see 348° angles
- The Earth turns 348° on its axis in about 23 h 12 min.
- A 348° 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
348° angle FAQ
What type of angle is 348°?
A 348° angle is a reflex angle, because it is between 180° and 360°.
Does a 348° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 348° is already larger than both. What it does have is an explement (conjugate) of 12°, the angle that completes a full 360° circle.
How many radians is 348 degrees?
348° = 29π/15 radians ≈ 6.0737 rad. To convert degrees to radians, multiply by π/180: 348 × π/180 = 29π/15.
How do I measure a 348° angle on my screen?
Open the online protractor with 348° preset, or type 348 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
