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

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

Formula:

Example 1:

Step 1 - Identify what is given.

In this problem: The given angle is \(\theta = \pi /2\) radians.

Step 2 - Write the conversion formula.

In this problem: Use the conversion formula: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: \(\text{degrees} = \pi /2 \times \frac{180}{\pi} = 90^{\circ}\).

Final answer:

Example 2:

Step 1 - Identify what is given.

In this problem: The given angle is \(\theta = 3\pi /4\) radians.

Step 2 - Write the conversion formula.

In this problem: Use the conversion formula: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: \(\text{degrees} = 3\pi /4 \times \frac{180}{\pi} = 135^{\circ}\).

Final answer:

See Example 1 Hide Example 1

Problem

\(\theta = \pi /2\)

Approach

Step-by-step method

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

Step 1

Step 1 - Identify what is given.

In this problem: The given angle is \(\theta = \pi /2\) radians.

\(\theta = \pi /2\)

Step 2

Step 2 - Write the conversion formula.

In this problem: Use the conversion formula: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

\(\text{degrees} = \text{radians} \times \frac{180}{\pi}\)

Step 3

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: \(\text{degrees} = \pi /2 \times \frac{180}{\pi} = 90^{\circ}\).

\(\text{degrees} = \pi /2 \times \frac{180}{\pi} = 90^{\circ}\)

Final Answer

\(\text{degrees} = 90^{\circ}\)

See Example 2 Hide Example 2

Problem

\(\theta = 3\pi /4\)

Approach

Step-by-step method

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

Step 1

Step 1 - Identify what is given.

In this problem: The given angle is \(\theta = 3\pi /4\) radians.

\(\theta = 3\pi /4\)

Step 2

Step 2 - Write the conversion formula.

In this problem: Use the conversion formula: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

\(\text{degrees} = \text{radians} \times \frac{180}{\pi}\)

Step 3

Step 3 - Substitute the value and calculate.

In this problem: Substitute and calculate: \(\text{degrees} = 3\pi /4 \times \frac{180}{\pi} = 135^{\circ}\).

\(\text{degrees} = 3\pi /4 \times \frac{180}{\pi} = 135^{\circ}\)

Final Answer

\(\text{degrees} = 135^{\circ}\)