At 19°, 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 71°.
19° is 19/360 of a full circle, or 19π/180 radians. If you face north and turn 19° clockwise, you end up facing between N and NNE (closest to north-northeast (NNE)).
19° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 71° |
| Supplement (adds to 180°) | 161° |
| Explement (adds to 360°) | 341° |
| Radians | 19π/180 ≈ 0.331613 |
| Gradians | 21.1111 grad |
| Fraction of a turn | 19/360 (5.28%) |
| Degrees, minutes, seconds | 19° 0′ 0″ |
| Slope (grade) | 34.43% |
| Roof pitch | 4.13/12 |
| Compass bearing | between N and NNE (closest to north-northeast (NNE)) |
Trigonometric values of 19°
| Function | Value |
|---|---|
| sin 19° | 0.325568 |
| cos 19° | 0.945519 |
| tan 19° | 0.344328 |
19° on a protractor
How to draw a 19° 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 19° 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 19°.
Drawing it a 19° 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 3.44 inches (about 3 7/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 19°, because tan 19° ≈ 0.3443.
Where you see 19° angles
- A 4/12 roof pitch is 18.43°, very close to 19°.
- A board sloped at 19° rises about 41.3 inches over a 10-foot (120-inch) run.
- 19° of latitude on Earth spans roughly 1,312 miles north to south.
- The Earth turns 19° on its axis in about 1 h 16 min.
Related angles
19° angle FAQ
What type of angle is 19°?
A 19° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 19°?
The complement of 19° is 71° (together they make 90°), and the supplement is 161° (together they make 180°).
How many radians is 19 degrees?
19° = 19π/180 radians ≈ 0.3316 rad. To convert degrees to radians, multiply by π/180: 19 × π/180 = 19π/180.
What is 19° as a slope or roof pitch?
19° is a 34.4% slope, which is a roof pitch of 4.13/12 (a rise of about 4 1/8 inches for every 12 inches of run).
