Degrees to Radians Calculator

Published on: January 19, 2025

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

  1. Identify the angle in degrees.
  2. Use the conversion formula.
  3. Substitute the value.
  4. Simplify the result (if possible).

Formula:

radians=degrees×
π
180

Example 1: 180°

Step 1 - Identify the angle in degrees.

In this problem: The given angle is 180°.

θ=180°

Step 2 - Use the conversion formula.

In this problem: Use the conversion formula: radians = degrees × π / 180.

radians=degrees×
π
180

Step 3 - Substitute the value.

In this problem: Substitute: radians = 180 × π / 180.

radians=180×
π
180

Step 4 - Simplify the result (if possible).

In this problem: Simplify to a π value: π.

radians=π

Final answer: π

Example 2: 45°

Step 1 - Identify the angle in degrees.

In this problem: The given angle is 45°.

θ=45°

Step 2 - Use the conversion formula.

In this problem: Use the conversion formula: radians = degrees × π / 180.

radians=degrees×
π
180

Step 3 - Substitute the value.

In this problem: Substitute: radians = 45 × π / 180.

radians=45×
π
180

Step 4 - Simplify the result (if possible).

In this problem: Simplify to a π value: π/4.

radians=
π
4

Final answer: π/4