Area Ratio of Similar Polygons Calculator
Easily calculate the area ratio of two similar polygons using their scale factor. Visualize the concept and copy results instantly.
Scale Factor Input
Enter the scale factor between the two similar polygons. This is the ratio of their corresponding side lengths.
Enter a positive number.
Area Ratio Result
The area ratio of the two similar polygons is:
Visualization of Similar Polygons
This visualization demonstrates how the area changes with the scale factor. Polygon 2 is scaled by the factor you entered, relative to Polygon 1.
Formula: If the scale factor of two similar polygons is 'k', then the ratio of their areas is Area Ratio = k2.
Understanding Similar Polygons and Area Ratio
Similar polygons are polygons that have the same shape but may differ in size. This means their corresponding angles are equal, and their corresponding sides are in proportion. The ratio of the lengths of corresponding sides is called the scale factor.
A key property of similar polygons is how their areas relate. If two polygons are similar and the scale factor of their corresponding sides is 'k', then the ratio of their areas is k2. This calculator helps you quickly find this area ratio by simply inputting the scale factor. For example, if the scale factor is 2, the area ratio is 4, meaning the larger polygon's area is 4 times the smaller polygon's area.
Learn more about similar polygons and area ratios on resources like Math is Fun and Khan Academy.