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The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle. This calculator computes the inradius when the medium diagonal of the octagon is known.
The calculator uses the formula:
Where:
Explanation: The inradius of a regular octagon is exactly half the length of its medium diagonal. This relationship holds true for all regular octagons.
Details: Calculating the inradius is important in geometry and various practical applications such as construction, design, and engineering where octagonal shapes are used. The inradius helps determine the size of the largest circle that can fit inside the octagon.
Tips: Enter the medium diagonal of the octagon in meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is a regular octagon?
A: A regular octagon is an eight-sided polygon where all sides are equal in length and all angles are equal in measure.
Q2: What is the medium diagonal of an octagon?
A: The medium diagonal of an octagon is the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.
Q3: Can this formula be used for irregular octagons?
A: No, this formula is specific to regular octagons where all sides and angles are equal.
Q4: What are practical applications of octagon inradius calculation?
A: This calculation is useful in architecture, engineering design, manufacturing, and any field that works with octagonal shapes and needs to determine fitting circles within them.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular octagons and provides precise results when accurate measurements are input.