At 325°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 35° angle: together they make a full 360° circle.
325° is 65/72 of a full circle, or 65π/36 radians. If you face north and turn 325° clockwise, you end up facing between NW and NNW (closest to northwest (NW)).
325° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 35° |
| Radians | 65π/36 ≈ 5.67232 |
| Gradians | 361.1111 grad |
| Fraction of a turn | 65/72 (90.28%) |
| Degrees, minutes, seconds | 325° 0′ 0″ |
| Compass bearing | between NW and NNW (closest to northwest (NW)) |
Trigonometric values of 325°
| Function | Value |
|---|---|
| sin 325° | −0.573576 |
| cos 325° | 0.819152 |
| tan 325° | −0.700208 |
325° on a protractor
How to draw a 325° angle with a protractor
- Subtract from 360°: 360° − 325° = 35°. 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 35°.
- Join the vertex to the dot. The inside angle is 35°; the outside angle, going the long way around, is 325°. Draw the angle arc on the outside and label it 325°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 325° directly.
Drawing it a 325° 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 7 inches (about 7″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 35°, because tan 35° ≈ 0.7002.
- That gives you 35°. The outside (reflex) angle is 325°.
Where you see 325° angles
- The Earth turns 325° on its axis in about 21 h 40 min.
- A 325° 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
325° angle FAQ
What type of angle is 325°?
A 325° angle is a reflex angle, because it is between 180° and 360°.
Does a 325° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 325° is already larger than both. What it does have is an explement (conjugate) of 35°, the angle that completes a full 360° circle.
How many radians is 325 degrees?
325° = 65π/36 radians ≈ 5.6723 rad. To convert degrees to radians, multiply by π/180: 325 × π/180 = 65π/36.
How do I measure a 325° angle on my screen?
Open the online protractor with 325° preset, or type 325 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
