Convert 45 Degrees to Radians
45 degrees in radians is 1π/4 (or approximately 0.785398 radians). See the step-by-step π/180 conversion formula.
Exact Answer
45° = 1π/4 ≈ 0.785398 rad
Radians (Exact π)
1π/4
Radians (Decimal)
0.785398 rad
sin(45°)
0.70711
cos(45°)
0.70711
Step-by-Step Solution: 45° = 1π/4 (0.785398 rad)
Step 1
Multiply Degrees by π / 180°
Use the formula
Radians = Degrees × (π / 180): 45 × π / 180 = 1π/4 ≈ 0.785398 rad.
45° × (π / 180°) = 1π/4 ≈ 0.785398 rad
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Radians (Exact π) | 1π/4 |
| Radians (Decimal) | 0.785398 rad |
| sin(45°) | 0.70711 |
| cos(45°) | 0.70711 |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 45 degrees in terms of pi (π)?
45° in terms of π is 1π/4 radians.