Triangle Inscribed in A Circle Calculator
Introduction
Calculating the properties of a triangle inscribed in a circle is a common task in geometry. To simplify this process, we present a convenient online calculator using HTML and JavaScript. This calculator will help you determine essential values of a triangle inscribed in a circle effortlessly.
How to Use
- Input Side Lengths: Enter the side lengths of the triangle in the provided input fields.
- Click Calculate: Hit the “Calculate” button to trigger the JavaScript function that computes the results.
- Review Results: The calculated values, including angles and area, will be displayed within the form.
Formula
The calculation for a triangle inscribed in a circle involves various trigonometric functions. The most accurate formula for calculating the angles and area is as follows:
Where:
- a and b are the side lengths of the triangle.
- r is the radius of the circumscribed circle.
Example
Consider a triangle with side lengths a=5, b=7, and a circumscribed circle of radius r=4.
FAQs
Q: Can I use this calculator for any triangle inscribed in a circle?
A: Yes, the calculator is designed to work with any triangle where you know the side lengths and the radius of the circumscribed circle.
Q: What if I don’t know the radius of the circumscribed circle?
A: You need to know the radius (r) to use this calculator. If it’s not given, you may need additional information to find it.
Q: Are the results accurate?
A: The results are accurate based on the provided side lengths and circumscribed circle radius. Ensure your input values are correct.
Conclusion
This calculator simplifies the calculation of a triangle inscribed in a circle, making it accessible to anyone. Understanding the angles and area of such a triangle is crucial in geometry, and this tool provides an efficient way to obtain accurate results.
