A 53° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 37° more and you get a square corner.
53° is 53/360 of a full circle, or 53π/180 radians. If you face north and turn 53° clockwise, you end up facing between NE and ENE (closest to northeast (NE)).
53° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 37° |
| Supplement (adds to 180°) | 127° |
| Explement (adds to 360°) | 307° |
| Radians | 53π/180 ≈ 0.925025 |
| Gradians | 58.8889 grad |
| Fraction of a turn | 53/360 (14.72%) |
| Degrees, minutes, seconds | 53° 0′ 0″ |
| Slope (grade) | 132.7% |
| Roof pitch | 15.92/12 |
| Compass bearing | between NE and ENE (closest to northeast (NE)) |
Trigonometric values of 53°
| Function | Value |
|---|---|
| sin 53° | 0.798636 |
| cos 53° | 0.601815 |
| tan 53° | 1.327045 |
53° on a protractor
How to draw a 53° 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 53° 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 53°.
Drawing it a 53° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 7.54 inches (about 7 9/16″) 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 53°, because tan 53° ≈ 1.327.
Where you see 53° angles
- A 16/12 roof pitch is 53.13°, very close to 53°.
- A board sloped at 53° rises about 159.2 inches over a 10-foot (120-inch) run.
- 53° of latitude on Earth spans roughly 3,660 miles north to south.
- The Earth turns 53° on its axis in about 3 h 32 min.
Related angles
53° angle FAQ
What type of angle is 53°?
A 53° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 53°?
The complement of 53° is 37° (together they make 90°), and the supplement is 127° (together they make 180°).
How many radians is 53 degrees?
53° = 53π/180 radians ≈ 0.925 rad. To convert degrees to radians, multiply by π/180: 53 × π/180 = 53π/180.
What is 53° as a slope or roof pitch?
53° is a 132.7% slope, which is a roof pitch of 15.92/12 (a rise of about 15 7/8 inches for every 12 inches of run).
