A 74° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 16° more and you get a square corner.
74° is 37/180 of a full circle, or 37π/90 radians. If you face north and turn 74° clockwise, you end up facing between ENE and E (closest to east-northeast (ENE)).
74° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 16° |
| Supplement (adds to 180°) | 106° |
| Explement (adds to 360°) | 286° |
| Radians | 37π/90 ≈ 1.291544 |
| Gradians | 82.2222 grad |
| Fraction of a turn | 37/180 (20.56%) |
| Degrees, minutes, seconds | 74° 0′ 0″ |
| Slope (grade) | 348.74% |
| Roof pitch | 41.85/12 |
| Compass bearing | between ENE and E (closest to east-northeast (ENE)) |
Trigonometric values of 74°
| Function | Value |
|---|---|
| sin 74° | 0.961262 |
| cos 74° | 0.275637 |
| tan 74° | 3.487414 |
74° on a protractor
How to draw a 74° 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 74° 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 74°.
Drawing it a 74° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 2.87 inches (about 2 7/8″) along it from the vertex.
- At that mark, draw a line straight up at 90° and measure exactly 10 inches up it.
- Join the top mark to the vertex. The angle at the vertex is 74°, because tan 74° ≈ 3.4874.
Where you see 74° angles
- 74° of latitude on Earth spans roughly 5,110 miles north to south.
- The Earth turns 74° on its axis in about 4 h 56 min.
- Narrow acute angles like 74° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
74° angle FAQ
What type of angle is 74°?
A 74° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 74°?
The complement of 74° is 16° (together they make 90°), and the supplement is 106° (together they make 180°).
How many radians is 74 degrees?
74° = 37π/90 radians ≈ 1.2915 rad. To convert degrees to radians, multiply by π/180: 74 × π/180 = 37π/90.
How do I measure a 74° angle on my screen?
Open the online protractor with 74° preset, or type 74 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
