Heptagon Calculator With Angles

Heptagon Angle Formulas:

\[ \text{Interior Angle} = \frac{(n-2) \times 180°}{n} \] \[ \text{Exterior Angle} = \frac{360°}{n} \] Where \( n = 7 \) for a heptagon

Interior Angle:

Exterior Angle:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Heptagon?

A heptagon is a seven-sided polygon. A regular heptagon has seven equal sides and seven equal angles. This calculator computes the interior and exterior angles of a regular heptagon.

2. How to Calculate Heptagon Angles

The formulas used in this calculator:

\[ \text{Interior Angle} = \frac{(n-2) \times 180°}{n} \] \[ \text{Exterior Angle} = \frac{360°}{n} \]

Where:

\( n = 7 \) — Number of sides in a heptagon
Interior angle — Angle formed inside the heptagon at each vertex
Exterior angle — Angle formed outside the heptagon at each vertex

Example: For a regular heptagon, each interior angle is approximately 128.57° and each exterior angle is approximately 51.43°.

3. Properties of Regular Heptagons

Details: All sides are equal length and all interior angles are equal in a regular heptagon. The sum of interior angles is 900° (5 × 180°).

4. Using the Calculator

Tips: Enter the side length to calculate other properties (though angles are constant for regular heptagons regardless of size).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between regular and irregular heptagons?
A: Regular heptagons have equal sides and angles, while irregular ones can have sides and angles of different measures.

Q2: Why is a heptagon angle approximately 128.57°?
A: This comes from the formula (7-2)×180°/7 = 900°/7 ≈ 128.57°.

Q3: Can this calculator work for irregular heptagons?
A: No, this calculator assumes a regular heptagon where all angles are equal.

Q4: How many diagonals does a heptagon have?
A: A heptagon has 14 diagonals (n(n-3)/2 = 7×4/2 = 14).

Q5: What's the sum of exterior angles of any heptagon?
A: The sum of exterior angles for any polygon (including heptagons) is always 360°.