To calculate the exterior angle of a regular polygon, divide 360° by the number of sides.
The Exterior Angle Calculator can assist you to determine the measurement of an exterior angle in polygons. This is particularly useful in geometry, architectural design, and mathematical problem-solving.
The tool simplifies calculations for polygons, whether regular or irregular, providing accurate results effortlessly. It’s ideal for students, engineers, and architects who need quick angle measurements for their projects.
Formula
exterior angle of a polygon = 360 ÷ number of sides
| Variable | Description |
|---|---|
| Exterior Angle | The measure of the exterior angle (in degrees) |
| Number of Sides (n) | The total number of sides in the polygon |
Solved Calculations
Example 1
| Step | Value |
|---|---|
| Number of Sides (n) | 4 (Square) |
| Formula Used | 360 ÷ 4 |
| Result | 90° per exterior angle |
Example 2
| Step | Value |
|---|---|
| Number of Sides (n) | 8 (Octagon) |
| Formula Used | 360 ÷ 8 |
| Result | 45° per exterior angle |
What is the Exterior Angle Calculator?
The Exterior Angle Calculator is an angle-determining tool. It is used to calculate the measure of exterior angles in various geometric shapes, such as triangles and polygons. It is particularly useful for solving problems related to the exterior angle theorem, finding the measure of exterior angles, and understanding the relationship between interior and exterior angles.
This calculator simplifies calculations for queries like “How to find exterior angles?” or “What is the formula for the exterior angle of a polygon?” By applying formulas specific to regular or irregular shapes, the tool ensures precise results. It’s ideal for students, teachers, and professionals working with geometry problems.
The tool also aids in finding the sum of exterior angles, verifying that for any polygon, the sum is always 360°, regardless of the number of sides. Whether you’re working with triangles, polygons, or other shapes, this calculator makes angle-related calculations straightforward and accurate.
Final Words:
To conclude, the Exterior Angle Calculator is an essential tool for mastering geometric calculations. It offers quick, reliable results, making it perfect for academic, professional, or personal applications in geometry.
