A 47° angle is classed as acute because it measures less than 90°. It is more than half of a right angle. Add 43° more and you get a square corner.
47° is 47/360 of a full circle, or 47π/180 radians. If you face north and turn 47° clockwise, you end up facing between NE and ENE (closest to northeast (NE)).
47° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 43° |
| Supplement (adds to 180°) | 133° |
| Explement (adds to 360°) | 313° |
| Radians | 47π/180 ≈ 0.820305 |
| Gradians | 52.2222 grad |
| Fraction of a turn | 47/360 (13.06%) |
| Degrees, minutes, seconds | 47° 0′ 0″ |
| Slope (grade) | 107.24% |
| Roof pitch | 12.87/12 |
| Compass bearing | between NE and ENE (closest to northeast (NE)) |
Trigonometric values of 47°
| Function | Value |
|---|---|
| sin 47° | 0.731354 |
| cos 47° | 0.681998 |
| tan 47° | 1.072369 |
47° on a protractor
How to draw a 47° 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 47° 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 47°.
Drawing it a 47° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 9.33 inches (about 9 5/16″) 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 47°, because tan 47° ≈ 1.0724.
Where you see 47° angles
- A 13/12 roof pitch is 47.29°, very close to 47°.
- A board sloped at 47° rises about 128.7 inches over a 10-foot (120-inch) run.
- 47° of latitude on Earth spans roughly 3,245 miles north to south.
- The Earth turns 47° on its axis in about 3 h 8 min.
Related angles
47° angle FAQ
What type of angle is 47°?
A 47° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 47°?
The complement of 47° is 43° (together they make 90°), and the supplement is 133° (together they make 180°).
How many radians is 47 degrees?
47° = 47π/180 radians ≈ 0.8203 rad. To convert degrees to radians, multiply by π/180: 47 × π/180 = 47π/180.
What is 47° as a slope or roof pitch?
47° is a 107.2% slope, which is a roof pitch of 12.87/12 (a rise of about 12 7/8 inches for every 12 inches of run).
