Area of Regular Polygons Worksheet

Calculate the area of regular polygons using various formulas and properties.

Grade 10 Math GeometryAreaArea of Regular Polygons

Use This Worksheet

Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

geometryareapolygonsgrade 10

8 sections · Free to use · Printable

Area of Regular Polygons

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Read each question carefully and calculate the area of the regular polygons. Show all your work.

1. A regular hexagon has a side length of 8 cm. Calculate its area.

2. The apothem of a regular pentagon is 6 inches and its perimeter is 40 inches. The area of the pentagon is square inches.

3. What is the area of an equilateral triangle with a side length of 10 units?

25√2 square units

25√3 square units

50 square units

100 square units

4. A regular octagon has an apothem of 12 cm and a side length of 10 cm. Find its area.

5. The area of any regular polygon can be calculated using the formula A = (1/2) * apothem * perimeter.

True

False

6. A regular nonagon has an area of 500 cm² and a perimeter of 100 cm. What is the length of its apothem?