At 34°, this angle is acute, meaning it is narrower than the corner of a square. It is less than half of a right angle, and its complement (the angle that makes 90° with it) is 56°.
34° is 17/180 of a full circle, or 17π/90 radians. If you face north and turn 34° clockwise, you end up facing between NNE and NE (closest to northeast (NE)).
34° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 56° |
| Supplement (adds to 180°) | 146° |
| Explement (adds to 360°) | 326° |
| Radians | 17π/90 ≈ 0.593412 |
| Gradians | 37.7778 grad |
| Fraction of a turn | 17/180 (9.44%) |
| Degrees, minutes, seconds | 34° 0′ 0″ |
| Slope (grade) | 67.45% |
| Roof pitch | 8.09/12 |
| Compass bearing | between NNE and NE (closest to northeast (NE)) |
Trigonometric values of 34°
| Function | Value |
|---|---|
| sin 34° | 0.559193 |
| cos 34° | 0.829038 |
| tan 34° | 0.674509 |
34° on a protractor
How to draw a 34° 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 34° 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 34°.
Drawing it a 34° angle without a protractor (rise and run method)
- 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 6.75 inches (about 6 3/4″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 34°, because tan 34° ≈ 0.6745.
Where you see 34° angles
- Dry sand settles into piles with an angle of repose of roughly 30° to 35°.
- A 8/12 roof pitch is 33.69°, very close to 34°.
- A board sloped at 34° rises about 80.9 inches over a 10-foot (120-inch) run.
- 34° of latitude on Earth spans roughly 2,348 miles north to south.
- The Earth turns 34° on its axis in about 2 h 16 min.
Related angles
34° angle FAQ
What type of angle is 34°?
A 34° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 34°?
The complement of 34° is 56° (together they make 90°), and the supplement is 146° (together they make 180°).
How many radians is 34 degrees?
34° = 17π/90 radians ≈ 0.5934 rad. To convert degrees to radians, multiply by π/180: 34 × π/180 = 17π/90.
What is 34° as a slope or roof pitch?
34° is a 67.5% slope, which is a roof pitch of 8.09/12 (a rise of about 8 1/8 inches for every 12 inches of run).
