A 326° angle is reflex because it measures between 180° and 360°. It is the "outside" of a 34° angle: together they make a full 360° circle.
326° is 163/180 of a full circle, or 163π/90 radians. If you face north and turn 326° clockwise, you end up facing between NW and NNW (closest to northwest (NW)).
326° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 34° |
| Radians | 163π/90 ≈ 5.689773 |
| Gradians | 362.2222 grad |
| Fraction of a turn | 163/180 (90.56%) |
| Degrees, minutes, seconds | 326° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to northwest (NW)) |
Trigonometric values of 326°
| Function | Value |
|---|---|
| sin 326° | −0.559193 |
| cos 326° | 0.829038 |
| tan 326° | −0.674509 |
326° on a protractor
How to draw a 326° angle with a protractor
- Subtract from 360°: 360° − 326° = 34°. 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 34°.
- Join the vertex to the dot. The inside angle is 34°; the outside angle, going the long way around, is 326°. Draw the angle arc on the outside and label it 326°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 326° directly.
Drawing it a 326° 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 6.75 inches (about 6 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 34°, because tan 34° ≈ 0.6745.
- That gives you 34°. The outside (reflex) angle is 326°.
Where you see 326° angles
- The Earth turns 326° on its axis in about 21 h 44 min.
- A 326° 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
326° angle FAQ
What type of angle is 326°?
A 326° angle is a reflex angle, because it is between 180° and 360°.
Does a 326° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 326° is already larger than both. What it does have is an explement (conjugate) of 34°, the angle that completes a full 360° circle.
How many radians is 326 degrees?
326° = 163π/90 radians ≈ 5.6898 rad. To convert degrees to radians, multiply by π/180: 326 × π/180 = 163π/90.
How do I measure a 326° angle on my screen?
Open the online protractor with 326° preset, or type 326 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
