At 97°, this is an obtuse angle, opened up past a square corner but not yet flat. Its supplement is 83°, so a 97° angle and an 83° angle side by side make a straight line.
97° is 97/360 of a full circle, or 97π/180 radians. If you face north and turn 97° clockwise, you end up facing between E and ESE (closest to east (E)).
97° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 83° |
| Explement (adds to 360°) | 263° |
| Radians | 97π/180 ≈ 1.692969 |
| Gradians | 107.7778 grad |
| Fraction of a turn | 97/360 (26.94%) |
| Degrees, minutes, seconds | 97° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 97°
| Function | Value |
|---|---|
| sin 97° | 0.992546 |
| cos 97° | −0.121869 |
| tan 97° | −8.144346 |
97° on a protractor
How to draw a 97° 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 97° 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 97°.
Drawing it a 97° angle without a protractor (rise and run method)
- 97° = 180° − 83°. Draw a straight line, pick a vertex on it, and build an 83° angle on one side as follows; the angle on the other side of the new line is 97°.
- Draw a straight baseline and measure 1.23 inches (about 1 1/4″) 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 83°, because tan 83° ≈ 8.1443.
Where you see 97° angles
- The Earth turns 97° on its axis in about 6 h 28 min.
- Obtuse angles like 97° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
97° angle FAQ
What type of angle is 97°?
A 97° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 97°?
The supplement of 97° is 83°, because 97° + 83° = 180°. A 97° angle has no complement, because it is already larger than 90°.
How many radians is 97 degrees?
97° = 97π/180 radians ≈ 1.693 rad. To convert degrees to radians, multiply by π/180: 97 × π/180 = 97π/180.
How do I measure a 97° angle on my screen?
Open the online protractor with 97° preset, or type 97 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
