A 44° 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 46°.
44° is 11/90 of a full circle, or 11π/45 radians. If you face north and turn 44° clockwise, you end up facing between NNE and NE (closest to northeast (NE)).
44° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 46° |
| Supplement (adds to 180°) | 136° |
| Explement (adds to 360°) | 316° |
| Radians | 11π/45 ≈ 0.767945 |
| Gradians | 48.8889 grad |
| Fraction of a turn | 11/90 (12.22%) |
| Degrees, minutes, seconds | 44° 0′ 0″ |
| Slope (grade) | 96.57% |
| Roof pitch | 11.59/12 |
| Compass bearing | between NNE and NE (closest to northeast (NE)) |
Trigonometric values of 44°
| Function | Value |
|---|---|
| sin 44° | 0.694658 |
| cos 44° | 0.71934 |
| tan 44° | 0.965689 |
44° on a protractor
How to draw a 44° 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 44° 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 44°.
Drawing it a 44° 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 9.66 inches (about 9 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 44°, because tan 44° ≈ 0.9657.
Where you see 44° angles
- A board sloped at 44° rises about 115.9 inches over a 10-foot (120-inch) run.
- 44° of latitude on Earth spans roughly 3,038 miles north to south.
- The Earth turns 44° on its axis in about 2 h 56 min.
- Narrow acute angles like 44° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
44° angle FAQ
What type of angle is 44°?
A 44° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 44°?
The complement of 44° is 46° (together they make 90°), and the supplement is 136° (together they make 180°).
How many radians is 44 degrees?
44° = 11π/45 radians ≈ 0.7679 rad. To convert degrees to radians, multiply by π/180: 44 × π/180 = 11π/45.
What is 44° as a slope or roof pitch?
44° is a 96.6% slope, which is a roof pitch of 11.59/12 (a rise of about 11 5/8 inches for every 12 inches of run).
