Height of Heptagon Calculator

Height of Heptagon Formula:

\[ h = \frac{S}{2 \times \tan\left(\frac{\pi/2}{7}\right)} \]

Height of Heptagon:

Definition: The height of a regular heptagon is the perpendicular distance from one side to the opposite vertex.

Purpose: This measurement is important in geometry, architecture, and design involving seven-sided shapes.

The calculator uses the formula:

\[ h = \frac{S}{2 \times \tan\left(\frac{\pi/2}{7}\right)} \]

Where:

Explanation: The formula calculates the height based on the side length and the internal angles of a regular heptagon.

Details: Knowing the height is essential for proper scaling, construction, and design of heptagonal shapes in various applications.

Tips: Enter the side length in meters and tolerance percentage (default ±5%). The calculator will provide the exact height and tolerance range.

Q1: What is a regular heptagon?
A: A seven-sided polygon with all sides and angles equal.

Q2: Why include a tolerance percentage?
A: Tolerance accounts for manufacturing or construction variations (±5% is common).

Q3: Can I use different units?
A: Yes, as long as you're consistent. The calculator displays meters but works with any unit.

Q4: How accurate is the calculation?
A: Very accurate, using precise trigonometric functions and pi constant.

Q5: What if my heptagon isn't regular?
A: This calculator only works for regular heptagons. Irregular ones require different methods.