At 343°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 17° angle: together they make a full 360° circle.
343° is 343/360 of a full circle, or 343π/180 radians. If you face north and turn 343° clockwise, you end up facing between NNW and N (closest to north-northwest (NNW)).
343° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 17° |
| Radians | 343π/180 ≈ 5.986479 |
| Gradians | 381.1111 grad |
| Fraction of a turn | 343/360 (95.28%) |
| Degrees, minutes, seconds | 343° 0′ 0″ |
| Compass bearing | between NNW and N (closest to north-northwest (NNW)) |
Trigonometric values of 343°
| Function | Value |
|---|---|
| sin 343° | −0.292372 |
| cos 343° | 0.956305 |
| tan 343° | −0.305731 |
343° on a protractor
How to draw a 343° angle with a protractor
- Subtract from 360°: 360° − 343° = 17°. 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 17°.
- Join the vertex to the dot. The inside angle is 17°; the outside angle, going the long way around, is 343°. Draw the angle arc on the outside and label it 343°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 343° directly.
Drawing it a 343° 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 3.06 inches (about 3 1/16″) up that line and make a mark.
- Join the mark to the vertex. The angle at the vertex is 17°, because tan 17° ≈ 0.3057.
- That gives you 17°. The outside (reflex) angle is 343°.
Where you see 343° angles
- The Earth turns 343° on its axis in about 22 h 52 min.
- A 343° 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
343° angle FAQ
What type of angle is 343°?
A 343° angle is a reflex angle, because it is between 180° and 360°.
Does a 343° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 343° is already larger than both. What it does have is an explement (conjugate) of 17°, the angle that completes a full 360° circle.
How many radians is 343 degrees?
343° = 343π/180 radians ≈ 5.9865 rad. To convert degrees to radians, multiply by π/180: 343 × π/180 = 343π/180.
How do I measure a 343° angle on my screen?
Open the online protractor with 343° preset, or type 343 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
