At 70°, this angle is acute, meaning it is narrower than the corner of a square. It is more than half of a right angle. Add 20° more and you get a square corner.
70° is 7/36 of a full circle, or 7π/18 radians. If you face north and turn 70° clockwise, you end up facing between ENE and E (closest to east-northeast (ENE)).
70° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 20° |
| Supplement (adds to 180°) | 110° |
| Explement (adds to 360°) | 290° |
| Radians | 7π/18 ≈ 1.22173 |
| Gradians | 77.7778 grad |
| Fraction of a turn | 7/36 (19.44%) |
| Degrees, minutes, seconds | 70° 0′ 0″ |
| Slope (grade) | 274.75% |
| Roof pitch | 32.97/12 |
| Compass bearing | between ENE and E (closest to east-northeast (ENE)) |
Trigonometric values of 70°
| Function | Value |
|---|---|
| sin 70° | 0.939693 |
| cos 70° | 0.34202 |
| tan 70° | 2.747477 |
70° on a protractor
How to draw a 70° 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 70° 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 70°.
Drawing it a 70° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 3.64 inches (about 3 5/8″) 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 70°, because tan 70° ≈ 2.7475.
Where you see 70° angles
- 70° of latitude on Earth spans roughly 4,834 miles north to south.
- The Earth turns 70° on its axis in about 4 h 40 min.
- Narrow acute angles like 70° show up in ramps, roof slopes, scissors blades, the tip of a pencil and the V of a flying flock of birds.
Related angles
70° angle FAQ
What type of angle is 70°?
A 70° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 70°?
The complement of 70° is 20° (together they make 90°), and the supplement is 110° (together they make 180°).
How many radians is 70 degrees?
70° = 7π/18 radians ≈ 1.2217 rad. To convert degrees to radians, multiply by π/180: 70 × π/180 = 7π/18.
How do I measure a 70° angle on my screen?
Open the online protractor with 70° preset, or type 70 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
