wikiHow Calculating the Apothem of a Hexagon Practice Problems To solve these word problems, you can use the formula for finding the apothem of a regular hexagon: Apothem = (Side Length) × √3 / 2 Substitute the given side length into the formula and perform the necessary calculations to find the apothem. 1. A regular hexagonal garden bed has a side length of 6 meters. Find the apothem of the garden bed. 2. The base of a beehive is a regular hexagon with a side length of 10 centimeters. Determine the apothem of the beehive. 3. A stop sign is in the shape of a regular hexagon. If each side measures 4 feet, what is the apothem of the stop sign? 4. A honeycomb cell is in the shape of a regular hexagon. If the side length of the cell is 7 millimeters, what is the apothem of the cell? 5. A decorative tile has the shape of a regular hexagon with a side length of 12 centimeters. Calculate the apothem of the tile. 6. The perimeter of a regular hexagonal garden is 36 meters, and all sides are equal. Find the apothem of the garden. 7. The base of a pyramid is a regular hexagon with a side length of 8 inches. Determine the apothem of the pyramid's base. 8. A stop sign is designed as a regular hexagon. If the apothem of the sign is 5 feet, what is the length of each side? 9. The perimeter of a regular hexagonal fence is 48 feet. Calculate the apothem of the fence. 10. The base of a tower is a regular hexagon with an apothem of 15 meters. Determine the side length of the tower's base. 11. The perimeter of a regular hexagonal garden is 60 centimeters. Find the apothem of the garden if all sides are equal. 12. The base of a pyramid is a regular hexagon with an apothem of 6 inches. Calculate the length of each side of the pyramid's base. 13. A stop sign is in the shape of a regular hexagon. If the length of each side is 2.5 feet, what is the apothem of the sign? 14. The perimeter of a regular hexagonal fence is 84 meters. Determine the apothem of the fence. 15. The base of a tower is a regular hexagon with a side length of 18 meters. Find the apothem of the tower's base. 16. A regular hexagonal prism has a base with an apothem of 10 centimeters. Calculate the side length of the prism's base. 17. The perimeter of a regular hexagonal garden is 72 inches. Find the apothem of the garden if all sides are equal. 18. The base of a pyramid is a regular hexagon with a side length of 5 inches. Determine the apothem of the pyramid's base. 19. A stop sign is designed as a regular hexagon. If the length of each side is 3.5 feet, what is the apothem of the sign? 20. The perimeter of a regular hexagonal fence is 90 feet. Calculate the apothem of the fence. Page