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What's on the worksheet
- Find the area of each regular polygon exactly using the apothem and perimeter:Square, apothem 7.Hexagon, radius 2\sqrt{3}.Equilateral triangle, apothem 4.Square, radius 6.Hexagon, 14 across the corners.
- Compare the areas of an equilateral triangle, square and hexagon made from 72 cm of wire.
- Find the mistake in a student's hexagon area and give the correct area.
- Find the area of a hexagonal nut face with a round hole.
- Find the end area and volume of a hexagonal pencil.
- Find the number of sides of a regular polygon from its side, apothem and area.
- Find the hexagon's area and compare it to the triangle drawn inside it.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Area of a regular polygon: the lesson ›More Chapter 12 worksheets: Area and volume
- 12.1The apothem of a regular polygon
- 12.2Area of a regular polygon
- 12.3The five regular solids
- 12.4Cavalieri's principle
- 12.5Why the volume formulas hold: dissection, slicing and Cavalieri
- 12.6Surface area of pyramids and cones
- 12.7Surface area of a sphere
- 12.8Solids of revolution
- 12.9Modeling with solids: density and design
- 12.10Volume of a cylinder
- 12.11Volume of pyramids and cones
- 12.12Volume of a sphere