Degrees to Radians Calculator
This Degrees to Radians Calculator helps you convert an angle from degrees to radians. It uses the formula radians = degrees × π / 180, which changes the angle into radian form used in trigonometry. Multiply the degree value by π, then divide by 180 to get the answer in radians. It is a simple way to check answers, understand angle conversion, and practise basic trigonometry step by step.
Step-by-step method
- Identify the angle in degrees.
- Use the conversion formula.
- Substitute the value.
- Simplify the result (if possible).
Formula:
| π |
| 180 |
Example 1: 180°
Step 1 - Identify the angle in degrees.
In this problem: The given angle is 180°.
Step 2 - Use the conversion formula.
In this problem: Use the conversion formula: radians = degrees × π / 180.
| π |
| 180 |
Step 3 - Substitute the value.
In this problem: Substitute: radians = 180 × π / 180.
| π |
| 180 |
Step 4 - Simplify the result (if possible).
In this problem: Simplify to a π value: π.
Final answer: π
Example 2: 45°
Step 1 - Identify the angle in degrees.
In this problem: The given angle is 45°.
Step 2 - Use the conversion formula.
In this problem: Use the conversion formula: radians = degrees × π / 180.
| π |
| 180 |
Step 3 - Substitute the value.
In this problem: Substitute: radians = 45 × π / 180.
| π |
| 180 |
Step 4 - Simplify the result (if possible).
In this problem: Simplify to a π value: π/4.
| π |
| 4 |
Final answer: π/4
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