A 93° angle is an obtuse angle: wider than a right angle (90°) but less than a straight line (180°). Its supplement is 87°, so a 93° angle and an 87° angle side by side make a straight line.
93° is 31/120 of a full circle, or 31π/60 radians. If you face north and turn 93° clockwise, you end up facing between E and ESE (closest to east (E)).
93° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 87° |
| Explement (adds to 360°) | 267° |
| Radians | 31π/60 ≈ 1.623156 |
| Gradians | 103.3333 grad |
| Fraction of a turn | 31/120 (25.83%) |
| Degrees, minutes, seconds | 93° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 93°
| Function | Value |
|---|---|
| sin 93° | 0.99863 |
| cos 93° | −0.052336 |
| tan 93° | −19.081137 |
93° on a protractor
How to draw a 93° 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 93° 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 93°.
Drawing it a 93° angle without a protractor (rise and run method)
- 93° = 180° − 87°. Draw a straight line, pick a vertex on it, and build an 87° angle on one side as follows; the angle on the other side of the new line is 93°.
- Draw a straight baseline and measure 0.52 inches (about 1/2″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 87°, because tan 87° ≈ 19.0811.
Where you see 93° angles
- The Earth turns 93° on its axis in about 6 h 12 min.
- Obtuse angles like 93° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
93° angle FAQ
What type of angle is 93°?
A 93° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 93°?
The supplement of 93° is 87°, because 93° + 87° = 180°. A 93° angle has no complement, because it is already larger than 90°.
How many radians is 93 degrees?
93° = 31π/60 radians ≈ 1.6232 rad. To convert degrees to radians, multiply by π/180: 93 × π/180 = 31π/60.
How do I measure a 93° angle on my screen?
Open the online protractor with 93° preset, or type 93 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
