A 14° angle is classed as acute because it measures less than 90°. It is less than half of a right angle, and its complement (the angle that makes 90° with it) is 76°.
14° is 7/180 of a full circle, or 7π/90 radians. If you face north and turn 14° clockwise, you end up facing between N and NNE (closest to north-northeast (NNE)).
14° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 76° |
| Supplement (adds to 180°) | 166° |
| Explement (adds to 360°) | 346° |
| Radians | 7π/90 ≈ 0.244346 |
| Gradians | 15.5556 grad |
| Fraction of a turn | 7/180 (3.89%) |
| Degrees, minutes, seconds | 14° 0′ 0″ |
| Slope (grade) | 24.93% |
| Roof pitch | 2.99/12 |
| Compass bearing | between N and NNE (closest to north-northeast (NNE)) |
Trigonometric values of 14°
| Function | Value |
|---|---|
| sin 14° | 0.241922 |
| cos 14° | 0.970296 |
| tan 14° | 0.249328 |
14° on a protractor
How to draw a 14° 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 14° 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 14°.
Drawing it a 14° 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 2.49 inches (about 2 1/2″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 14°, because tan 14° ≈ 0.2493.
Where you see 14° angles
- A 3/12 roof pitch is 14.04°, very close to 14°.
- A board sloped at 14° rises about 29.9 inches over a 10-foot (120-inch) run.
- 14° of latitude on Earth spans roughly 967 miles north to south.
- The Earth turns 14° on its axis in about 56 minutes.
Related angles
14° angle FAQ
What type of angle is 14°?
A 14° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 14°?
The complement of 14° is 76° (together they make 90°), and the supplement is 166° (together they make 180°).
How many radians is 14 degrees?
14° = 7π/90 radians ≈ 0.2443 rad. To convert degrees to radians, multiply by π/180: 14 × π/180 = 7π/90.
What is 14° as a slope or roof pitch?
14° is a 24.9% slope, which is a roof pitch of 2.99/12 (a rise of about 3 inches for every 12 inches of run).
