Convert 30 Degrees to Radians
30 degrees in radians is 1π/6 (or approximately 0.523599 radians). See the step-by-step π/180 conversion formula.
Exact Answer
30° = 1π/6 ≈ 0.523599 rad
Radians (Exact π)
1π/6
Radians (Decimal)
0.523599 rad
sin(30°)
0.5
cos(30°)
0.86603
Step-by-Step Solution: 30° = 1π/6 (0.523599 rad)
Step 1
Multiply Degrees by π / 180°
Use the formula
Radians = Degrees × (π / 180): 30 × π / 180 = 1π/6 ≈ 0.523599 rad.
30° × (π / 180°) = 1π/6 ≈ 0.523599 rad
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Radians (Exact π) | 1π/6 |
| Radians (Decimal) | 0.523599 rad |
| sin(30°) | 0.5 |
| cos(30°) | 0.86603 |
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Frequently Asked Questions
What is 30 degrees in terms of pi (π)?
30° in terms of π is 1π/6 radians.