A 26° angle is classed as acute because it measures less than 90°. It is less than half of a right angle, and its complement (the angle that makes 90° with it) is 64°.
26° is 13/180 of a full circle, or 13π/90 radians. If you face north and turn 26° clockwise, you end up facing between NNE and NE (closest to north-northeast (NNE)).
26° angle facts
| Angle type | Acute angle (between 0° and 90°) |
|---|---|
| Complement (adds to 90°) | 64° |
| Supplement (adds to 180°) | 154° |
| Explement (adds to 360°) | 334° |
| Radians | 13π/90 ≈ 0.453786 |
| Gradians | 28.8889 grad |
| Fraction of a turn | 13/180 (7.22%) |
| Degrees, minutes, seconds | 26° 0′ 0″ |
| Slope (grade) | 48.77% |
| Roof pitch | 5.85/12 |
| Compass bearing | between NNE and NE (closest to north-northeast (NNE)) |
Trigonometric values of 26°
| Function | Value |
|---|---|
| sin 26° | 0.438371 |
| cos 26° | 0.898794 |
| tan 26° | 0.487733 |
26° on a protractor
How to draw a 26° 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 26° 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 26°.
Drawing it a 26° 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 4.88 inches (about 4 7/8″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 26°, because tan 26° ≈ 0.4877.
Where you see 26° angles
- A 6/12 roof pitch is 26.57°, very close to 26°.
- A board sloped at 26° rises about 58.5 inches over a 10-foot (120-inch) run.
- 26° of latitude on Earth spans roughly 1,795 miles north to south.
- The Earth turns 26° on its axis in about 1 h 44 min.
Related angles
26° angle FAQ
What type of angle is 26°?
A 26° angle is an acute angle, because it is between 0° and 90°.
What are the complement and supplement of 26°?
The complement of 26° is 64° (together they make 90°), and the supplement is 154° (together they make 180°).
How many radians is 26 degrees?
26° = 13π/90 radians ≈ 0.4538 rad. To convert degrees to radians, multiply by π/180: 26 × π/180 = 13π/90.
What is 26° as a slope or roof pitch?
26° is a 48.8% slope, which is a roof pitch of 5.85/12 (a rise of about 5 7/8 inches for every 12 inches of run).
