At 328°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 32° angle: together they make a full 360° circle.
328° is 41/45 of a full circle, or 82π/45 radians. If you face north and turn 328° clockwise, you end up facing between NW and NNW (closest to north-northwest (NNW)).
328° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 32° |
| Radians | 82π/45 ≈ 5.72468 |
| Gradians | 364.4444 grad |
| Fraction of a turn | 41/45 (91.11%) |
| Degrees, minutes, seconds | 328° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to north-northwest (NNW)) |
Trigonometric values of 328°
| Function | Value |
|---|---|
| sin 328° | −0.529919 |
| cos 328° | 0.848048 |
| tan 328° | −0.624869 |
328° on a protractor
How to draw a 328° angle with a protractor
- Subtract from 360°: 360° − 328° = 32°. 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 32°.
- Join the vertex to the dot. The inside angle is 32°; the outside angle, going the long way around, is 328°. Draw the angle arc on the outside and label it 328°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 328° directly.
Drawing it a 328° 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 6.25 inches (about 6 1/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 32°, because tan 32° ≈ 0.6249.
- That gives you 32°. The outside (reflex) angle is 328°.
Where you see 328° angles
- The Earth turns 328° on its axis in about 21 h 52 min.
- A 328° 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
328° angle FAQ
What type of angle is 328°?
A 328° angle is a reflex angle, because it is between 180° and 360°.
Does a 328° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 328° is already larger than both. What it does have is an explement (conjugate) of 32°, the angle that completes a full 360° circle.
How many radians is 328 degrees?
328° = 82π/45 radians ≈ 5.7247 rad. To convert degrees to radians, multiply by π/180: 328 × π/180 = 82π/45.
How do I measure a 328° angle on my screen?
Open the online protractor with 328° preset, or type 328 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
