Free Printable Area of Regular Polygons Worksheets for Class 7

Have students draw segments from the center to each vertex, creating congruent triangles. Once they see that the combined triangle bases equal the polygon’s perimeter and each triangle’s height is the apothem, A = ½Pa becomes a result they understand rather than a formula they memorize.

Use a short progression: direct substitution with a given perimeter and apothem, perimeter calculations from one side length, and missing-measurement problems. Finish with a practical task, such as finding the area of a regular hexagonal patio.

Students often multiply the apothem by one side instead of the perimeter or use the polygon’s radius as its apothem. They may also calculate correctly but report linear rather than square units. A labeled sketch and a unit check make these errors easier to spot.

The same worksheet can be hosted as a digital quiz on Wayground or printed as a PDF and assigned on paper. A complete answer key is included; for paper submissions, the Wayground for Teachers app can scan or capture student work for grading.

Yes. It aligns with Common Core’s emphasis on using formulas to solve real-world area problems and on building new formulas from known relationships. Students move from triangle area and circumference concepts toward using the perimeter and apothem together to calculate a regular polygon’s area.

Use a wide-spaced worksheet version so students can mark the center, apothem, and side length directly on each figure. Wayground can also provide extended time or reduced answer choices to selected students without changing the default experience for the rest of the class.

Yes. Grade 7 is an appropriate level for connecting prior area formulas to regular polygons, particularly when the apothem is given. Problems that require trigonometry to determine the apothem are usually better reserved for later geometry courses.