The Degree Calculator is a free tool that helps you calculate degree using the formula Convert between degrees, radians and gradians (180 deg = pi rad = 200 grad). Enter your values above and press Calculate to get converted angle instantly, with a full step-by-step breakdown.
What is the Degree Calculator?
The degree calculator is a free online tool that helps you calculate degree quickly and accurately. It applies the standard formula Convert between degrees, radians and gradians (180 deg = pi rad = 200 grad) to the values you enter and, when you press Calculate, displays the result together with a clear, step-by-step explanation of how the answer was reached.
How to use the Degree Calculator
- Enter the angle.
- Choose from and to units.
- See the result.
Formula used
The degree calculator is based on this formula:
Convert between degrees, radians and gradians (180 deg = pi rad = 200 grad)Each term in the formula corresponds to one of the inputs explained below. The calculator performs the arithmetic for you and shows every step so you can check the working by hand if you wish.
Worked example
Suppose you enter 90 deg to rad. The calculator works as follows:
| Inputs | 90 deg to rad |
|---|---|
| Working | 90 x pi/180 |
| Result | about 1.5708 |
Step-by-step calculation
- Apply the formula:
Convert between degrees, radians and gradians (180 deg = pi rad = 200 grad) - Substitute your values: 90 x pi/180
- Read the result: about 1.5708
Inputs explained
- Angle value — the angle value used in the calculation.
- From — the from used in the calculation.
- To — the to used in the calculation.
Understanding your result
- Converted angle — the calculated converted angle.
Benefits and practical uses
The degree calculator saves time and removes the risk of manual errors when you need to calculate degree. It is useful for students, professionals and anyone who wants a fast, dependable answer. Results update the moment you press Calculate, work on any device, and can be copied or shared in a single click — and because the maths runs in your browser, your figures stay completely private.
Tips for an accurate result
- Keep all related inputs in the same units.
- Use the worked example above to confirm you are entering values in the right places.
- Review the assumptions below so the result fits your situation.
- Press Reset to clear everything and try a different scenario.
Common mistakes to avoid
- Entering values in the wrong unit (mismatched units give wrong answers).
- Leaving a required field empty — the calculator will ask you to fill it in.
- Rounding inputs too early, which can slightly change the result.
Assumptions and limitations
- Standard angle definitions.
Frequently asked questions
How many degrees in a radian?
One radian is about 57.2958 degrees.
How do I use the Degree Calculator?
Enter your values in the fields, then press the Calculate button to see the result. Use Reset to clear the form and start again. Nothing is calculated until you click Calculate.
What formula does the Degree Calculator use?
It uses the standard formula: Convert between degrees, radians and gradians (180 deg = pi rad = 200 grad). The full step-by-step working is shown with every result so you can verify it.
What information do I need to use the degree calculator?
You need: angle value, from, to. Sensible example values are pre-filled so you can see how it works.
Is the Degree Calculator free to use?
Yes. Every DigiToolkit calculator is completely free, with no sign-up, no login and no usage limits.
Does the Degree Calculator work on mobile phones?
Yes. The calculator is mobile-first and works on phones, tablets and computers in any modern browser.
Do I need to install an app?
No. The degree calculator runs directly in your web browser — there is nothing to download or install.
Is my data private when I use this calculator?
Yes. All calculations run inside your browser. The numbers you enter are never uploaded to a server or shared with anyone.
How accurate is the Degree Calculator?
It uses the generally accepted formula for degree and computes to several decimal places. Results are accurate for the assumptions listed on this page.
Can I copy or share my result?
Yes. After calculating, use the Copy button to copy the result, or Share to copy the page link.
Why is nothing showing until I press Calculate?
By design, the calculator only computes when you press Calculate, so you can finish entering all your values first. Press Reset any time to clear everything.