At 298°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 62° angle: together they make a full 360° circle.
298° is 149/180 of a full circle, or 149π/90 radians. If you face north and turn 298° clockwise, you end up facing between WNW and NW (closest to west-northwest (WNW)).
298° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 62° |
| Radians | 149π/90 ≈ 5.201081 |
| Gradians | 331.1111 grad |
| Fraction of a turn | 149/180 (82.78%) |
| Degrees, minutes, seconds | 298° 0′ 0″ |
| Compass bearing | between WNW and NW (closest to west-northwest (WNW)) |
Trigonometric values of 298°
| Function | Value |
|---|---|
| sin 298° | −0.882948 |
| cos 298° | 0.469472 |
| tan 298° | −1.880726 |
298° on a protractor
How to draw a 298° angle with a protractor
- Subtract from 360°: 360° − 298° = 62°. A standard protractor only goes to 180°, so you draw the smaller angle first.
- Draw a straight line with a ruler and mark the vertex at one end.
- Place the protractor's center mark on the vertex, line up the 0° baseline with your line, and make a dot at 62°.
- Join the vertex to the dot. The inside angle is 62°; the outside angle, going the long way around, is 298°. Draw the angle arc on the outside and label it 298°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 298° directly.
Drawing it a 298° angle without a protractor (rise and run method)
- Draw a straight baseline and measure 5.32 inches (about 5 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 62°, because tan 62° ≈ 1.8807.
- That gives you 62°. The outside (reflex) angle is 298°.
Where you see 298° angles
- The Earth turns 298° on its axis in about 19 h 52 min.
- A 298° reflex angle is what you measure when you go the "long way" around, like the outside corner of a building or a turn of more than half a circle.
Related angles
298° angle FAQ
What type of angle is 298°?
A 298° angle is a reflex angle, because it is between 180° and 360°.
Does a 298° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 298° is already larger than both. What it does have is an explement (conjugate) of 62°, the angle that completes a full 360° circle.
How many radians is 298 degrees?
298° = 149π/90 radians ≈ 5.2011 rad. To convert degrees to radians, multiply by π/180: 298 × π/180 = 149π/90.
How do I measure a 298° angle on my screen?
Open the online protractor with 298° preset, or type 298 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
