At 79°, this angle is acute, meaning it is narrower than the corner of a square. It is more than half of a right angle. Add 11° more and you get a square corner.
79° is 79/360 of a full circle, or 79π/180 radians. If you face north and turn 79° clockwise, you end up facing between ENE and E (closest to east (E)).
79° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 11° |
| Supplement (adds to 180°) | 101° |
| Explement (adds to 360°) | 281° |
| Radians | 79π/180 ≈ 1.37881 |
| Gradians | 87.7778 grad |
| Fraction of a turn | 79/360 (21.94%) |
| Degrees, minutes, seconds | 79° 0′ 0″ |
| Slope (grade) | 514.46% |
| Roof pitch | 61.73/12 |
| Compass bearing | between ENE and E (closest to east (E)) |
Trigonometric values of 79°
| Function | Value |
|---|---|
| sin 79° | 0.981627 |
| cos 79° | 0.190809 |
| tan 79° | 5.144554 |
79° on a protractor
How to draw a 79° 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 79° 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 79°.
Drawing it a 79° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 1.94 inches (about 1 15/16″) 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 79°, because tan 79° ≈ 5.1446.
Where you see 79° angles
- 79° of latitude on Earth spans roughly 5,455 miles north to south.
- The Earth turns 79° on its axis in about 5 h 16 min.
- Narrow acute angles like 79° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
79° angle FAQ
What type of angle is 79°?
A 79° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 79°?
The complement of 79° is 11° (together they make 90°), and the supplement is 101° (together they make 180°).
How many radians is 79 degrees?
79° = 79π/180 radians ≈ 1.3788 rad. To convert degrees to radians, multiply by π/180: 79 × π/180 = 79π/180.
How do I measure a 79° angle on my screen?
Open the online protractor with 79° preset, or type 79 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
