At 241°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 119° angle: together they make a full 360° circle.
241° is 241/360 of a full circle, or 241π/180 radians. If you face north and turn 241° clockwise, you end up facing between SW and WSW (closest to west-southwest (WSW)).
241° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 119° |
| Radians | 241π/180 ≈ 4.206243 |
| Gradians | 267.7778 grad |
| Fraction of a turn | 241/360 (66.94%) |
| Degrees, minutes, seconds | 241° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to west-southwest (WSW)) |
Trigonometric values of 241°
| Function | Value |
|---|---|
| sin 241° | −0.87462 |
| cos 241° | −0.48481 |
| tan 241° | 1.804048 |
241° on a protractor
How to draw a 241° angle with a protractor
- Subtract from 360°: 360° − 241° = 119°. 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 119°.
- Join the vertex to the dot. The inside angle is 119°; the outside angle, going the long way around, is 241°. Draw the angle arc on the outside and label it 241°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 241° directly.
Drawing it a 241° angle without a protractor (rise and run method)
- 241° = 180° − 61°. Draw a straight line, pick a vertex on it, and build a 61° angle on one side as follows; the angle on the other side of the new line is 119°.
- Draw a straight baseline and measure 5.54 inches (about 5 9/16″) 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 61°, because tan 61° ≈ 1.804.
- That gives you 119°. The outside (reflex) angle is 241°.
Where you see 241° angles
- The Earth turns 241° on its axis in about 16 h 4 min.
- A 241° 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
241° angle FAQ
What type of angle is 241°?
A 241° angle is a reflex angle, because it is between 180° and 360°.
Does a 241° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 241° is already larger than both. What it does have is an explement (conjugate) of 119°, the angle that completes a full 360° circle.
How many radians is 241 degrees?
241° = 241π/180 radians ≈ 4.2062 rad. To convert degrees to radians, multiply by π/180: 241 × π/180 = 241π/180.
How do I measure a 241° angle on my screen?
Open the online protractor with 241° preset, or type 241 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
