An 86° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 4° more and you get a square corner.
86° is 43/180 of a full circle, or 43π/90 radians. If you face north and turn 86° clockwise, you end up facing between ENE and E (closest to east (E)).
86° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 4° |
| Supplement (adds to 180°) | 94° |
| Explement (adds to 360°) | 274° |
| Radians | 43π/90 ≈ 1.500983 |
| Gradians | 95.5556 grad |
| Fraction of a turn | 43/180 (23.89%) |
| Degrees, minutes, seconds | 86° 0′ 0″ |
| Slope (grade) | 1430.07% |
| Roof pitch | 171.61/12 |
| Compass bearing | between ENE and E (closest to east (E)) |
Trigonometric values of 86°
| Function | Value |
|---|---|
| sin 86° | 0.997564 |
| cos 86° | 0.069756 |
| tan 86° | 14.300666 |
86° on a protractor
How to draw an 86° 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 86° 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 86°.
Drawing it an 86° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 0.7 inches (about 11/16″) 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 86°, because tan 86° ≈ 14.3007.
Where you see 86° angles
- 86° of latitude on Earth spans roughly 5,938 miles north to south.
- The Earth turns 86° on its axis in about 5 h 44 min.
- Narrow acute angles like 86° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
86° angle FAQ
What type of angle is 86°?
An 86° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 86°?
The complement of 86° is 4° (together they make 90°), and the supplement is 94° (together they make 180°).
How many radians is 86 degrees?
86° = 43π/90 radians ≈ 1.501 rad. To convert degrees to radians, multiply by π/180: 86 × π/180 = 43π/90.
How do I measure an 86° angle on my screen?
Open the online protractor with 86° preset, or type 86 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
