At 247°, this is a reflex angle, which goes more than halfway around a circle. It is the "outside" of a 113° angle: together they make a full 360° circle.
247° is 247/360 of a full circle, or 247π/180 radians. If you face north and turn 247° clockwise, you end up facing between SW and WSW (closest to west-southwest (WSW)).
247° angle facts
| Angle type | Reflex angle (between 180° and 360°) |
|---|---|
| Explement (adds to 360°) | 113° |
| Radians | 247π/180 ≈ 4.310963 |
| Gradians | 274.4444 grad |
| Fraction of a turn | 247/360 (68.61%) |
| Degrees, minutes, seconds | 247° 0′ 0″ |
| Compass bearing | between SW and WSW (closest to west-southwest (WSW)) |
Trigonometric values of 247°
| Function | Value |
|---|---|
| sin 247° | −0.920505 |
| cos 247° | −0.390731 |
| tan 247° | 2.355852 |
247° on a protractor
How to draw a 247° angle with a protractor
- Subtract from 360°: 360° − 247° = 113°. 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 113°.
- Join the vertex to the dot. The inside angle is 113°; the outside angle, going the long way around, is 247°. Draw the angle arc on the outside and label it 247°.
- With a 360° protractor you can skip the subtraction: put 0° on your first line and mark 247° directly.
Drawing it a 247° angle without a protractor (rise and run method)
- 247° = 180° − 67°. Draw a straight line, pick a vertex on it, and build a 67° angle on one side as follows; the angle on the other side of the new line is 113°.
- Draw a straight baseline and measure 4.24 inches (about 4 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 67°, because tan 67° ≈ 2.3559.
- That gives you 113°. The outside (reflex) angle is 247°.
Where you see 247° angles
- The Earth turns 247° on its axis in about 16 h 28 min.
- A 247° 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
247° angle FAQ
What type of angle is 247°?
A 247° angle is a reflex angle, because it is between 180° and 360°.
Does a 247° angle have a complement or supplement?
No. Complements add up to 90° and supplements to 180°, and 247° is already larger than both. What it does have is an explement (conjugate) of 113°, the angle that completes a full 360° circle.
How many radians is 247 degrees?
247° = 247π/180 radians ≈ 4.311 rad. To convert degrees to radians, multiply by π/180: 247 × π/180 = 247π/180.
How do I measure a 247° angle on my screen?
Open the online protractor with 247° preset, or type 247 into its "Type an angle" box. You can then drag the arms onto your own lines to compare.
