Area of Regular Polygons Worksheet
This worksheet focuses on calculating the area of regular polygons, including apothems, perimeter, and side lengths, suitable for Grade 11 Geometry students.
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Standards
Topics
Area of Regular Polygons
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Read each question carefully and show all your work. Use the formula A = (1/2) * a * P, where 'a' is the apothem and 'P' is the perimeter, for calculating the area of regular polygons.
1. A regular hexagon has a side length of 10 cm and an apothem of 8.66 cm. Calculate its area.
2. An octagon has a perimeter of 96 inches. If its apothem is 11.5 inches, what is the area of the octagon?
3. The area of a regular polygon can be found using the formula A = (1/2) * apothem * .
4. The of a regular polygon is the distance from the center to the midpoint of a side.
5. A regular polygon with 5 equal sides is called a .
6. Which of the following is NOT a regular polygon?
Equilateral Triangle
Square
Rectangle
Regular Pentagon
7. If the apothem of a regular pentagon is 6 cm and its side length is 8.7 cm, what is its perimeter?
30 cm
43.5 cm
52.2 cm
60 cm
8. All sides of a regular polygon are equal in length.
True
False
9. The apothem of a regular polygon is always longer than its radius.
True
False
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