1. What is the Circumradius of Right Angled Triangle?

The Circumradius of Right Angled Triangle is the radius of a circumcircle touching each of the vertices of the Right-Angled Triangle. For a right-angled triangle, the circumradius is equal to half the length of the hypotenuse.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( rc \) — Circumradius of Right Angled Triangle (m)
• \( H \) — Hypotenuse of Right Angled Triangle (m)

Explanation: In a right-angled triangle, the hypotenuse serves as the diameter of the circumcircle, making the circumradius exactly half of the hypotenuse length.

3. Importance of Circumradius Calculation

Details: Calculating the circumradius is important in geometry for determining the size of the circumscribed circle around a right-angled triangle, which has applications in various fields including engineering, architecture, and computer graphics.

4. Using the Calculator

Tips: Enter the hypotenuse length in meters. The value must be valid (hypotenuse > 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the circumradius half the hypotenuse in a right-angled triangle?
A: In a right-angled triangle, the hypotenuse is the diameter of the circumcircle, making the circumradius exactly half of that diameter.

Q2: Does this formula work for all types of triangles?
A: No, this specific formula (rc = H/2) applies only to right-angled triangles. Other triangles have different formulas for calculating circumradius.

Q3: What are the units for circumradius?
A: The circumradius has the same units as the hypotenuse length, typically meters or other length units.

Q4: Can this calculator be used for triangles with different angle measurements?
A: This calculator is specifically designed for right-angled triangles (triangles with one 90-degree angle).

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for right-angled triangles, provided the hypotenuse measurement is accurate.