Area of Regular Polygons Worksheet
Calculate the area of regular polygons using various formulas and properties.
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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?
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