A 98° angle is obtuse because it is greater than 90° and less than 180°. Its supplement is 82°, so a 98° angle and an 82° angle side by side make a straight line.
98° is 49/180 of a full circle, or 49π/90 radians. If you face north and turn 98° clockwise, you end up facing between E and ESE (closest to east (E)).
98° angle facts
| Angle type | Obtuse angle (between 90° and 180°) |
|---|---|
| Supplement (adds to 180°) | 82° |
| Explement (adds to 360°) | 262° |
| Radians | 49π/90 ≈ 1.710423 |
| Gradians | 108.8889 grad |
| Fraction of a turn | 49/180 (27.22%) |
| Degrees, minutes, seconds | 98° 0′ 0″ |
| Compass bearing | between E and ESE (closest to east (E)) |
Trigonometric values of 98°
| Function | Value |
|---|---|
| sin 98° | 0.990268 |
| cos 98° | −0.139173 |
| tan 98° | −7.11537 |
98° on a protractor
How to draw a 98° 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 98° 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 98°.
Drawing it a 98° angle without a protractor (rise and run method)
- 98° = 180° − 82°. Draw a straight line, pick a vertex on it, and build an 82° angle on one side as follows; the angle on the other side of the new line is 98°.
- Draw a straight baseline and measure 1.41 inches (about 1 3/8″) 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 82°, because tan 82° ≈ 7.1154.
Where you see 98° angles
- The Earth turns 98° on its axis in about 6 h 32 min.
- Obtuse angles like 98° appear in reclining chair backs, open laptop screens, fan blades, and the corners of many-sided polygons.
Related angles
98° angle FAQ
What type of angle is 98°?
A 98° angle is an obtuse angle, because it is between 90° and 180°.
What is the supplement of 98°?
The supplement of 98° is 82°, because 98° + 82° = 180°. A 98° angle has no complement, because it is already larger than 90°.
How many radians is 98 degrees?
98° = 49π/90 radians ≈ 1.7104 rad. To convert degrees to radians, multiply by π/180: 98 × π/180 = 49π/90.
How do I measure a 98° angle on my screen?
Open the online protractor with 98° preset, or type 98 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
