Radians to Degrees Calculator

Published on: January 26, 2025

Enter an angle in radians (for example, π/2) to convert it to degrees.

Step-by-step method

  1. Identify what is given.
  2. Write the conversion formula.
  3. Substitute the value and calculate.

Formula

degrees=radians×
180
π

Example 1: θ = π/2

Step 1 - Identify what is given.

In this problem: The given angle is θ = π/2 radians.

θ=π/2

Step 2 - Write the conversion formula.

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

degrees=radians×
180
π

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: degrees = 1.570796327 × 180 / π = 90°.

degrees=1.570796327×
180
π
=90°

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.

θ=3π/4

Step 2 - Write the conversion formula.

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

degrees=radians×
180
π

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: degrees = 2.35619449 × 180 / π = 135°.

degrees=2.35619449×
180
π
=135°

Final answer: 135°