At 88°, this angle is acute, meaning it is narrower than the corner of a square. It is more than half of a right angle. Add 2° more and you get a square corner.
88° is 11/45 of a full circle, or 22π/45 radians. If you face north and turn 88° clockwise, you end up facing between ENE and E (closest to east (E)).
88° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 2° |
| Supplement (adds to 180°) | 92° |
| Explement (adds to 360°) | 272° |
| Radians | 22π/45 ≈ 1.53589 |
| Gradians | 97.7778 grad |
| Fraction of a turn | 11/45 (24.44%) |
| Degrees, minutes, seconds | 88° 0′ 0″ |
| Slope (grade) | 2863.63% |
| Roof pitch | 343.64/12 |
| Compass bearing | between ENE and E (closest to east (E)) |
Trigonometric values of 88°
| Function | Value |
|---|---|
| sin 88° | 0.999391 |
| cos 88° | 0.034899 |
| tan 88° | 28.636253 |
88° on a protractor
How to draw an 88° 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 88° 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 88°.
Drawing it an 88° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 0.35 inches (about 3/8″) 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 88°, because tan 88° ≈ 28.6363.
Where you see 88° angles
- 88° of latitude on Earth spans roughly 6,076 miles north to south.
- The Earth turns 88° on its axis in about 5 h 52 min.
- Narrow acute angles like 88° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
88° angle FAQ
What type of angle is 88°?
An 88° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 88°?
The complement of 88° is 2° (together they make 90°), and the supplement is 92° (together they make 180°).
How many radians is 88 degrees?
88° = 22π/45 radians ≈ 1.5359 rad. To convert degrees to radians, multiply by π/180: 88 × π/180 = 22π/45.
How do I measure an 88° angle on my screen?
Open the online protractor with 88° preset, or type 88 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
