How do you convert radians to degrees?

To convert radians to degrees, multiply the radian value by 180/π (approximately 57. 2958). For example: 1) π rad = 180°, 2) π/2 rad = 90°, 3) π/4 rad = 45°. Our calculator handles this automatically.

What is 1 radian equal to in degrees?

1 radian equals approximately 57.2958 degrees (180/π degrees). This is a standard conversion used worldwide in mathematics and engineering. Common conversions include π radians = 180° and π/2 radians = 90°.

Why would I need to convert radians to degrees?

Converting radians to degrees is useful when: 1) Working with trigonometry problems, 2) Converting between mathematical notations, 3) Programming graphics or animations, 4) Working with engineering calculations.

What are the common angle measurements in radians and degrees?

Common angle measurements include: 1) Full circle: 2π rad = 360°, 2) Half circle: π rad = 180°, 3) Quarter circle: π/2 rad = 90°, 4) Eighth circle: π/4 rad = 45°.

Radians to Degrees Conversion Calculator

Radian (rad) to Degree (°) Converter

Symbol: rad (radians), ° (degrees)

What they are:

A radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A degree is 1/360 of a complete rotation. Both are units used to measure angles and rotations.

Conversion Facts:

1 radian = 57.2958 degrees
1 degree = 0.0174533 radians
π radians = 180 degrees
2π radians = 360 degrees

From:

Radian (rad)

To:

Degree (°)

Conversion Result

1 rad=

57.2958 °

Use the converter above to calculate different values and units

Radians to Degrees Conversion FAQs

Find answers to common questions about converting between radians and degrees.

Radians to Degrees Conversion Calculator

Definition

What they are:

Conversion Facts:

History / Origin

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Conversion Result

Radians to Degrees Conversion FAQs