Expert Reviewed by: David Chen, CFA | Updated on October 24, 2023
This Radian in Calculator tool is designed to help students, engineers, and mathematicians quickly convert between degrees and radians while providing the exact steps used by scientific calculators to solve trigonometric problems.
Radian in Calculator
Radian in Calculator Formula:
To Radians: $R = D \times (\pi / 180)$
To Degrees: $D = R \times (180 / \pi)$
Source: Wolfram MathWorld – Radian
Variables:
- Degrees (D): The measurement of an angle in degrees, where a full circle is 360°.
- Radians (R): The standard unit of angular measure used in many areas of mathematics.
- Pi (π): A mathematical constant approximately equal to 3.14159.
Related Calculators:
What is Radian in Calculator?
A radian is the standard unit of angular measure, used in many areas of mathematics. An angle’s measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. One radian is just under 57.3 degrees.
Most scientific calculators have a “Mode” button to switch between Degree (DEG) and Radian (RAD). Understanding how a radian in calculator works is crucial for solving calculus and physics problems where trigonometric functions (sin, cos, tan) require radian inputs for accurate results.
How to Calculate Radian in Calculator (Example):
- Identify the value you have (e.g., Degrees = 90°).
- Multiply the degree value by $\pi$ (approximately 3.14159).
- Divide the result by 180.
- Example: $90 \times (3.14159 / 180) = 1.5708$ radians.
Frequently Asked Questions (FAQ):
What is 1 radian in degrees? 1 radian is approximately equal to 57.2958 degrees.
Why do calculators use radians? Radians provide a more natural way to describe angles in calculus, making formulas for derivatives of trigonometric functions simpler.
How to switch to radian on a TI-84? Press the [MODE] key, use the arrow keys to highlight “RADIAN”, and press [ENTER].
Is $\pi$ always 180 degrees? In terms of angular measurement, $\pi$ radians is exactly equal to 180 degrees.