At 352°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of an 8° angle: together they make a full 360° circle.
352° is 44/45 of a full circle, or 88π/45 radians. If you face north and turn 352° clockwise, you end up facing between NNW and N (closest to north (N)).
352° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 8° |
| Radians | 88π/45 ≈ 6.143559 |
| Gradians | 391.1111 grad |
| Fraction of a turn | 44/45 (97.78%) |
| Degrees, minutes, seconds | 352° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north (N)) |
Trigonometric values of 352°
| Function | Value |
|---|---|
| sin 352° | −0.139173 |
| cos 352° | 0.990268 |
| tan 352° | −0.140541 |
352° on a protractor
How to draw a 352° angle with a protractor
- Subtract from 360°: 360° − 352° = 8°. 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 8°.
- Join the vertex to the dot. The inside angle is 8°; the outside angle, going the long way around, is 352°. Draw the angle arc on the outside and label it 352°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 352° directly.
Drawing it a 352° 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 1.41 inches (about 1 3/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 8°, because tan 8° ≈ 0.1405.
- That gives you 8°. The outside (reflex) angle is 352°.
Where you see 352° angles
- The Earth turns 352° on its axis in about 23 h 28 min.
- A 352° 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
352° angle FAQ
What type of angle is 352°?
A 352° angle is a reflex angle, because it is between 180° and 360°.
Does a 352° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 352° is already larger than both. What it does have is an explement (conjugate) of 8°, the angle that completes a full 360° circle.
How many radians is 352 degrees?
352° = 88π/45 radians ≈ 6.1436 rad. To convert degrees to radians, multiply by π/180: 352 × π/180 = 88π/45.
How do I measure a 352° angle on my screen?
Open the online protractor with 352° preset, or type 352 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
