An 11.25° 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 78.75°.
11.25° is one thirty-second (1/32) of a full circle, or π/16 radians. If you face north and turn 11.25° clockwise, you end up facing between N and NNE (closest to north-northeast (NNE)).
11.25° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 78.75° |
| Supplement (adds to 180°) | 168.75° |
| Explement (adds to 360°) | 348.75° |
| Radians | π/16 ≈ 0.19635 |
| Gradians | 12.5 grad |
| Fraction of a turn | one thirty-second (1/32) (3.13%) |
| Degrees, minutes, seconds | 11° 15′ 0″ |
| Slope (grade) | 19.89% |
| Roof pitch | 2.39/12 |
| Compass bearing | between N and NNE (closest to north-northeast (NNE)) |
Trigonometric values of 11.25°
| Function | Value |
|---|---|
| sin 11.25° | 0.19509 |
| cos 11.25° | 0.980785 |
| tan 11.25° | 0.198912 |
11.25° on a protractor
How to draw an 11.25° 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 11.25° 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. 11.25° falls between the 11° and 12° marks; estimate the position carefully.
- Remove the protractor and draw a line from the vertex through the dot. Mark the angle with an arc and label it 11.25°.
Drawing it an 11.25° angle without a protractor (compass and ruler)
- Construct a 22.5° angle, then bisect it.
Where you see 11.25° angles
- A traditional 32-point mariner's compass has its points spaced exactly 11.25° apart.
- A 16-sided frame (16-sided polygon) is assembled with 11.25° miter cuts.
- A board sloped at 11.25° rises about 23.9 inches over a 10-foot (120-inch) run.
- 11.25° of latitude on Earth spans roughly 777 miles north to south.
- The Earth turns 11.25° on its axis in about 45 minutes.
Related angles
11.25° angle FAQ
What type of angle is 11.25°?
An 11.25° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 11.25°?
The complement of 11.25° is 78.75° (together they make 90°), and the supplement is 168.75° (together they make 180°).
How many radians is 11.25 degrees?
11.25° = π/16 radians ≈ 0.1963 rad. To convert degrees to radians, multiply by π/180: 11.25 × π/180 = π/16.
What is 11.25° as a slope or roof pitch?
11.25° is a 19.9% slope, which is a roof pitch of 2.39/12 (a rise of about 2 3/8 inches for every 12 inches of run).
