Radians to Degrees Calculator
This Radians to Degrees Calculator helps you convert an angle from radians to degrees. It uses the formula degrees = radians × 180 / π, which changes the angle into degree form used in many geometry and trigonometry problems. Multiply the radian value by 180, then divide by π to get the answer in degrees. It is a simple way to check answers, understand angle conversion, and practise basic trigonometry step by step.
Step-by-step method
- Identify what is given.
- Write the conversion formula.
- Substitute the value and calculate.
Formula
| 180 |
| π |
Example 1: θ = π/2
Step 1 - Identify what is given.
In this problem: The given angle is θ = π/2 radians.
Step 2 - Write the conversion formula.
In this problem: Use the conversion formula: degrees = radians × 180 / π.
| 180 |
| π |
Step 3 - Substitute the value and calculate.
In this problem: Substitute and calculate: degrees = 1.570796327 × 180 / π = 90°.
| 180 |
| π |
Final answer: 90°
Example 2: θ = 3π/4
Step 1 - Identify what is given.
In this problem: The given angle is θ = 3π/4 radians.
Step 2 - Write the conversion formula.
In this problem: Use the conversion formula: degrees = radians × 180 / π.
| 180 |
| π |
Step 3 - Substitute the value and calculate.
In this problem: Substitute and calculate: degrees = 2.35619449 × 180 / π = 135°.
| 180 |
| π |
Final answer: 135°
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