At 43°, this angle is acute, meaning it is narrower than the corner of a square. It is less than half of a right angle, and its complement (the angle that makes 90° with it) is 47°.
43° is 43/360 of a full circle, or 43π/180 radians. If you face north and turn 43° clockwise, you end up facing between NNE and NE (closest to northeast (NE)).
43° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 47° |
| Supplement (adds to 180°) | 137° |
| Explement (adds to 360°) | 317° |
| Radians | 43π/180 ≈ 0.750492 |
| Gradians | 47.7778 grad |
| Fraction of a turn | 43/360 (11.94%) |
| Degrees, minutes, seconds | 43° 0′ 0″ |
| Slope (grade) | 93.25% |
| Roof pitch | 11.19/12 |
| Compass bearing | between NNE and NE (closest to northeast (NE)) |
Trigonometric values of 43°
| Function | Value |
|---|---|
| sin 43° | 0.681998 |
| cos 43° | 0.731354 |
| tan 43° | 0.932515 |
43° on a protractor
How to draw a 43° 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 43° 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 43°.
Drawing it a 43° angle without a protractor (rise and run method)
- Draw a straight baseline and measure exactly 10 inches along it from the vertex.
- At the 10-inch mark, draw a short line straight up at 90° (use a carpenter's square or the corner of a sheet of paper).
- Measure 9.33 inches (about 9 5/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 43°, because tan 43° ≈ 0.9325.
Where you see 43° angles
- A 11/12 roof pitch is 42.51°, very close to 43°.
- A board sloped at 43° rises about 111.9 inches over a 10-foot (120-inch) run.
- 43° of latitude on Earth spans roughly 2,969 miles north to south.
- The Earth turns 43° on its axis in about 2 h 52 min.
Related angles
43° angle FAQ
What type of angle is 43°?
A 43° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 43°?
The complement of 43° is 47° (together they make 90°), and the supplement is 137° (together they make 180°).
How many radians is 43 degrees?
43° = 43π/180 radians ≈ 0.7505 rad. To convert degrees to radians, multiply by π/180: 43 × π/180 = 43π/180.
What is 43° as a slope or roof pitch?
43° is a 93.3% slope, which is a roof pitch of 11.19/12 (a rise of about 11 1/4 inches for every 12 inches of run).
