At 73°, this angle is acute, meaning it is narrower than the corner of a square. It is more than half of a right angle. Add 17° more and you get a square corner.
73° is 73/360 of a full circle, or 73π/180 radians. If you face north and turn 73° clockwise, you end up facing between ENE and E (closest to east-northeast (ENE)).
73° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 17° |
| Supplement (adds to 180°) | 107° |
| Explement (adds to 360°) | 287° |
| Radians | 73π/180 ≈ 1.27409 |
| Gradians | 81.1111 grad |
| Fraction of a turn | 73/360 (20.28%) |
| Degrees, minutes, seconds | 73° 0′ 0″ |
| Slope (grade) | 327.09% |
| Roof pitch | 39.25/12 |
| Compass bearing | between ENE and E (closest to east-northeast (ENE)) |
Trigonometric values of 73°
| Function | Value |
|---|---|
| sin 73° | 0.956305 |
| cos 73° | 0.292372 |
| tan 73° | 3.270853 |
73° on a protractor
How to draw a 73° 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 73° 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 73°.
Drawing it a 73° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 3.06 inches (about 3 1/16″) 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 73°, because tan 73° ≈ 3.2709.
Where you see 73° angles
- 73° of latitude on Earth spans roughly 5,041 miles north to south.
- The Earth turns 73° on its axis in about 4 h 52 min.
- Narrow acute angles like 73° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
73° angle FAQ
What type of angle is 73°?
A 73° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 73°?
The complement of 73° is 17° (together they make 90°), and the supplement is 107° (together they make 180°).
How many radians is 73 degrees?
73° = 73π/180 radians ≈ 1.2741 rad. To convert degrees to radians, multiply by π/180: 73 × π/180 = 73π/180.
How do I measure a 73° angle on my screen?
Open the online protractor with 73° preset, or type 73 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
