Home
Back
Perimeter of Decagon Formula:
| From: | To: |
The formula calculates the perimeter of a regular decagon when its inradius (the radius of the inscribed circle) is known. A decagon is a ten-sided polygon, and this formula provides a mathematical relationship between its inradius and perimeter.
The calculator uses the formula:
Where:
Explanation: The formula derives from the geometric properties of regular decagons and their relationship between the inradius and side length.
Details: Calculating the perimeter of geometric shapes is fundamental in various fields including architecture, engineering, and mathematics. For regular polygons like decagons, knowing one parameter (inradius) allows calculation of other important dimensions.
Tips: Enter the inradius value in meters. The value must be positive and greater than zero. The calculator will compute the perimeter based on the mathematical relationship.
Q1: What is a regular decagon?
A: A regular decagon is a polygon with ten equal sides and ten equal angles.
Q2: What is the inradius of a polygon?
A: The inradius is the radius of the inscribed circle that touches all sides of the polygon from the inside.
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 this calculation?
A: This calculation is useful in architectural design, construction planning, and geometric modeling where decagonal shapes are involved.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise for ideal regular decagons, though real-world measurements may introduce some margin of error.