An 83° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 7° more and you get a square corner.
83° is 83/360 of a full circle, or 83π/180 radians. If you face north and turn 83° clockwise, you end up facing between ENE and E (closest to east (E)).
83° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 7° |
| Supplement (adds to 180°) | 97° |
| Explement (adds to 360°) | 277° |
| Radians | 83π/180 ≈ 1.448623 |
| Gradians | 92.2222 grad |
| Fraction of a turn | 83/360 (23.06%) |
| Degrees, minutes, seconds | 83° 0′ 0″ |
| Slope (grade) | 814.43% |
| Roof pitch | 97.73/12 |
| Compass bearing | between ENE and E (closest to east (E)) |
Trigonometric values of 83°
| Function | Value |
|---|---|
| sin 83° | 0.992546 |
| cos 83° | 0.121869 |
| tan 83° | 8.144346 |
83° on a protractor
How to draw an 83° 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 83° 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 83°.
Drawing it an 83° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 1.23 inches (about 1 1/4″) 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 83°, because tan 83° ≈ 8.1443.
Where you see 83° angles
- 83° of latitude on Earth spans roughly 5,731 miles north to south.
- The Earth turns 83° on its axis in about 5 h 32 min.
- Narrow acute angles like 83° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
83° angle FAQ
What type of angle is 83°?
An 83° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 83°?
The complement of 83° is 7° (together they make 90°), and the supplement is 97° (together they make 180°).
How many radians is 83 degrees?
83° = 83π/180 radians ≈ 1.4486 rad. To convert degrees to radians, multiply by π/180: 83 × π/180 = 83π/180.
How do I measure an 83° angle on my screen?
Open the online protractor with 83° preset, or type 83 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
