1. What is Circumradius of Decagon?

Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices. It is an important geometric property used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( rc \) — Circumradius of Decagon (m)
• \( d5 \) — Diagonal across Five Sides of Decagon (m)

Explanation: The circumradius of a regular decagon can be calculated by dividing the diagonal across five sides by 2.

3. Importance of Circumradius Calculation

Details: Calculating the circumradius is essential in geometry, architecture, and engineering for designing and analyzing decagonal structures and patterns.

4. Using the Calculator

Tips: Enter the diagonal across five sides of the decagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular decagon?
A: A regular decagon is a polygon with ten equal sides and ten equal angles.

Q2: How is the diagonal across five sides defined?
A: The diagonal across five sides is a straight line joining two opposite vertices that spans five sides of the decagon.

Q3: Can this formula be used for irregular decagons?
A: No, this formula applies only to regular decagons where all sides and angles are equal.

Q4: What are practical applications of circumradius calculation?
A: It's used in architectural design, mechanical engineering, and geometric analysis of decagonal shapes.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular decagons, provided accurate input values are given.