A 195° 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 165° angle: together they make a full 360° circle.
195° is 13/24 of a full circle, or 13π/12 radians. If you face north and turn 195° clockwise, you end up facing between S and SSW (closest to south-southwest (SSW)).
195° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 165° |
| Radians | 13π/12 ≈ 3.403392 |
| Gradians | 216.6667 grad |
| Fraction of a turn | 13/24 (54.17%) |
| Degrees, minutes, seconds | 195° 0′ 0″ |
| Compass bearing | between S and SSW (closest to south-southwest (SSW)) |
Trigonometric values of 195°
| Function | Value |
|---|---|
| sin 195° | −(√6 − √2)/4 ≈ −0.258819 |
| cos 195° | −(√6 + √2)/4 ≈ −0.965926 |
| tan 195° | 2 − √3 ≈ 0.267949 |
195° on a protractor
How to draw a 195° angle with a protractor
- Subtract from 360°: 360° − 195° = 165°. 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 165°.
- Join the vertex to the dot. The inside angle is 165°; the outside angle, going the long way around, is 195°. Draw the angle arc on the outside and label it 195°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 195° directly.
Drawing it a 195° angle without a protractor (compass and ruler)
- Draw a 180° angle: draw a straight line.
- Inside it, starting from the second arm, mark a 15° angle: construct a 30° angle, then bisect it.
- What is left between the first arm and the new line is 180° − 15° = 165°.
- That gives you 165°. The reflex angle on the outside of it is 195°.
Where you see 195° angles
- The Earth turns 195° on its axis in about 13 hours.
- A 195° 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
195° angle FAQ
What type of angle is 195°?
A 195° angle is a reflex angle, because it is between 180° and 360°.
Does a 195° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 195° is already larger than both. What it does have is an explement (conjugate) of 165°, the angle that completes a full 360° circle.
How many radians is 195 degrees?
195° = 13π/12 radians ≈ 3.4034 rad. To convert degrees to radians, multiply by π/180: 195 × π/180 = 13π/12.
How do I measure a 195° angle on my screen?
Open the online protractor with 195° preset, or type 195 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
