At 163°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 17°, so a 163° angle and a 17° angle side by side make a straight line.
163° is 163/360 of a full circle, or 163π/180 radians. If you face north and turn 163° clockwise, you end up facing between SSE and S (closest to south-southeast (SSE)).
163° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 17° |
| Explement (adds to 360°) | 197° |
| Radians | 163π/180 ≈ 2.844887 |
| Gradians | 181.1111 grad |
| Fraction of a turn | 163/360 (45.28%) |
| Degrees, minutes, seconds | 163° 0′ 0″ |
| Compass bearing | between SSE and S (closest to south-southeast (SSE)) |
Trigonometric values of 163°
| Function | Value |
|---|---|
| sin 163° | 0.292372 |
| cos 163° | −0.956305 |
| tan 163° | −0.305731 |
163° on a protractor
How to draw a 163° angle with a protractor
- Draw a straight line with a ruler. This is the first arm; mark the vertex at one end.
- Place the center mark of the protractor exactly on the vertex and line up the 0° baseline with your line.
- Find 163° on the row of numbers that reads 0° on your line (protractors have two rows running in opposite directions) and make a small dot at the edge.
- Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 163°.
Drawing it a 163° angle without a protractor (rise and run method)
- 163° = 180° − 17°. Draw a straight line, pick a vertex on it, and build a 17° angle on one side as follows; the angle on the other side of the new line is 163°.
- 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 3.06 inches (about 3 1/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 17°, because tan 17° ≈ 0.3057.
Where you see 163° angles
- The Earth turns 163° on its axis in about 10 h 52 min.
- Obtuse angles like 163° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
163° angle FAQ
What type of angle is 163°?
A 163° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 163°?
The supplement of 163° is 17°, because 163° + 17° = 180°. A 163° angle has no complement, because it is already larger than 90°.
How many radians is 163 degrees?
163° = 163π/180 radians ≈ 2.8449 rad. To convert degrees to radians, multiply by π/180: 163 × π/180 = 163π/180.
How do I measure a 163° angle on my screen?
Open the online protractor with 163° preset, or type 163 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
