Name______________________________
Period_________
Regular Polygons
Directions: Solve and correctly round to the nearest tenth.
1. Find the area of a regular octagon with a side length of 12 units and an apothem of 14.5 units.
Show all of your work.
2. Austin City Limits decided to build a regular pentagon shaped stage for next year. The length of
each side is 5 yards and the length of the apothem is 5.7 yards. Find the area of the stage floor to
the nearest tenth.
3. Find the area of a regular hexagon with an apothem of 5mm and a side length of 20mm.
4. The area of a regular decagon is 225 cm2. If the apothem is 5 cm, what is the perimeter of the
figure.
5. There is a regular hexagon that has a side length of 0.7 inches and an area of 21 inches 2.
Find the apothem.
6. A regular dodecagon has an area of 37.5 mm 2 and an apothem of 2.5mm. Find the length of
one side of the dodecagon.
7. If a regular octagon has a side length of 11 feet, determine the area.
8. A regular quadrilateral has an apothem of 5 inches. Find the area of the quadrilateral.
9. Determine the area of the pentagon.
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