Degrees ↔ Radians Converter

Step-by-step solution

1. 1

   The relation between the units

   A half turn is 180° and also π radians, so 180° = π.

   $$180^{\circ} = \pi$$
2. 2

   Multiply by π/180

   To convert degrees to radians, multiply by π/180.

   $$135 \cdot \frac{\pi}{180} = \frac{3\pi}{4}$$
3. 3

   Reduce the fraction

   The fraction in front of π reduces to 3/4, so 135° = 3π/4.

   $$135 \cdot \frac{\pi}{180} = \frac{3\pi}{4}$$
4. 4

   Decimal form

   Numerically, 3π/4 ≈ 2.35619449 radians.

   $$\frac{3\pi}{4} \approx 2.35619449$$