How to Get Answer in Degrees on Calculator
When using a calculator to get answers in degrees, you need to ensure your calculator is set to the degree mode. This guide explains how to do that and provides a built-in degree converter to help you with your calculations.
How to Use the Degree Calculator
Most scientific calculators have a mode setting that allows you to switch between degrees, radians, and sometimes gradians. Here's how to use it:
- Turn on your calculator and clear any previous calculations.
- Look for a "Mode" or "Angle" button, often labeled with a small triangle or angle symbol.
- Press the Mode button until you see "Deg" displayed, indicating the calculator is set to degree mode.
- Now you can enter your calculations, and the results will be displayed in degrees.
If your calculator doesn't have a degree mode, you may need to convert radians to degrees manually using the formula: degrees = radians × (180/π).
Common Degree Conversions
Here are some common angle conversions that are useful to know:
| Degrees | Radians | Gradians |
|---|---|---|
| 0° | 0 | 0 |
| 30° | 0.5236 | 33.3333 |
| 45° | 0.7854 | 49.7097 |
| 60° | 1.0472 | 66.6667 |
| 90° | 1.5708 | 100 |
| 180° | 3.1416 | 200 |
Degree Calculator Formula
The basic formula for converting radians to degrees is:
degrees = radians × (180/π)
Where π (pi) is approximately 3.14159265359. This formula is used when your calculator is set to radian mode but you need the result in degrees.
Worked Example
Let's say you have an angle of 2 radians and want to convert it to degrees:
- Multiply 2 by 180: 2 × 180 = 360
- Divide the result by π: 360 / 3.1416 ≈ 114.5916
- The result is approximately 114.5916 degrees
You can verify this using our built-in degree converter in the sidebar.