Degrees to Radians Converter

What is a Degree?

A degree is a unit of measurement for angles. A full circle is divided into 360 degrees (°), making degrees a common way to express angles in math, geometry, navigation, and engineering. Examples include 90 degrees, 180 degrees, or 45 degrees.

What is a Radian?

A radian is another unit for measuring angles, based on the radius of a circle. One radian is the angle formed when the arc length is equal to the radius of the circle. A full circle contains 2π radians. Radians are widely used in trigonometry, physics, and programming because they simplify calculations with circles and periodic functions.

How to Use Our Degree to Radian Calculator

• Enter Degrees: Type the angle you want to convert in the Enter Degrees box.
• Click Calculate: Hit Calculate to instantly convert degrees to radians and see the result below.
• Check Radians Result: Your angle will appear in radians, either as a decimal or in terms of π.
• View the Angle: The Angle View graphic visually shows the rotation that corresponds to your entered degrees.
• Copy or Clear: Use the copy icon to save the output, or press Clear to reset and start a new degree to radian conversion.

How to Convert Degrees to Radians

Converting degrees to radians is simple using the degrees to radians formula:

Radians=Degrees×180π​

For example, to convert 90 degrees in radians:

90∘×180π​=2π​ radians

You can also use our degree to radian calculator to automatically convert degree to radian values in seconds, either as a decimal or degrees to radians in terms of pi.

Features of Our Degrees to Radians Calculator

• Instant Conversion: Quickly convert degree to radian without manual calculations.
• Supports Any Angle: Easily convert degrees to radians for any value.
• Degrees to Radians in Terms of Pi: Get exact results like π/6, π/4, π/2, and more.
• User-Friendly Interface: Our degree to radian calculator works on desktop, tablet, and mobile.
• Step-by-Step Guide: Learn how to convert degrees to radians with examples.

Degrees to Radians Conversion Table

Common Conversions Using Our Tool

• 90 degrees in radians → π/2 rad
• 180 degrees in radians → π rad
• 45 degrees in radians → π/4 rad
• 360 degrees in radians → 2π rad

Why Use a Degrees to Radians Calculator?

Manually converting degrees to radians can be slow and error-prone. Our degree to radian calculator ensures accuracy and saves time, making deg to rad conversions effortless.

Degrees to Radians Formula

radians=degrees×180π​

Use this formula or our degrees to radians calculator to convert degree to radian instantly.

Frequently Asked Questions (FAQs)

How to convert degrees to radians?

Use the formula: radians = degrees × π / 180, or enter the degree value in our calculator for instant results.

What is 90 degrees in radians?

90 degrees equals π/2 radians.

What is the difference between deg and rad?

Degrees divide a circle into 360 parts, while radians measure angles based on the radius of a circle.

Is 180 degrees equal to π radians?

Yes, 180 degrees is exactly π radians.

How do you convert degrees to radians?

To convert degrees to radians, multiply the angle in degrees by π/180.

Is 180 degrees 1 radian?

No, 180 degrees equals π radians (approximately 3.1416 radians), not 1 radian.

Why is 360 degrees 2 pi radians?

A full circle measures 360°, and since 180° = π radians, doubling that gives 360° = 2π radians, which represents one complete revolution.

How to convert angle from degree to radian 150?

Use the formula: 150 × (π / 180) = 5π/6 radians (approximately 2.618 radians).