A 41° 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 49°.
41° is 41/360 of a full circle, or 41π/180 radians. If you face north and turn 41° clockwise, you end up facing between NNE and NE (closest to northeast (NE)).
41° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 49° |
| Supplement (adds to 180°) | 139° |
| Explement (adds to 360°) | 319° |
| Radians | 41π/180 ≈ 0.715585 |
| Gradians | 45.5556 grad |
| Fraction of a turn | 41/360 (11.39%) |
| Degrees, minutes, seconds | 41° 0′ 0″ |
| Slope (grade) | 86.93% |
| Roof pitch | 10.43/12 |
| Compass bearing | between NNE and NE (closest to northeast (NE)) |
Trigonometric values of 41°
| Function | Value |
|---|---|
| sin 41° | 0.656059 |
| cos 41° | 0.75471 |
| tan 41° | 0.869287 |
41° on a protractor
How to draw a 41° 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 41° 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 41°.
Drawing it a 41° 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 8.69 inches (about 8 11/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 41°, because tan 41° ≈ 0.8693.
Where you see 41° angles
- A board sloped at 41° rises about 104.3 inches over a 10-foot (120-inch) run.
- 41° of latitude on Earth spans roughly 2,831 miles north to south.
- The Earth turns 41° on its axis in about 2 h 44 min.
- Narrow acute angles like 41° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
41° angle FAQ
What type of angle is 41°?
A 41° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 41°?
The complement of 41° is 49° (together they make 90°), and the supplement is 139° (together they make 180°).
How many radians is 41 degrees?
41° = 41π/180 radians ≈ 0.7156 rad. To convert degrees to radians, multiply by π/180: 41 × π/180 = 41π/180.
What is 41° as a slope or roof pitch?
41° is a 86.9% slope, which is a roof pitch of 10.43/12 (a rise of about 10 3/8 inches for every 12 inches of run).
