Area of a regular polygon

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Bo's flower bed in the park is a regular pentagon with 5 sides of 20 feet. Its apothem is 13.8 feet and its radius is 17 feet. What is its area, in square feet?

   690
2. 2.

   Esme's window is a regular octagon with 8 sides of 25 cm. Its apothem is 30.2 cm and its radius is 32.7 cm. What is its area, in square centimeters?

   3020
3. 3.

   Jun's park stage floor is a regular decagon with 10 sides of 13 feet. Its apothem is 20 feet and its radius is 21 feet. What is its area, in square feet?

   1300
4. 4.

   Kira's clock face is a regular dodecagon with 12 sides of 5 inches. Its apothem is 9.3 inches and its radius is 9.7 inches. What is its area, in square inches?

   279
5. 5.

   Luz's mirror is a regular heptagon with 7 sides of 10 inches. Its apothem is 10.4 inches and its radius is 11.5 inches. What is its area, in square inches?

   364
6. 6.

   Milo's rug is a regular nonagon with 9 sides of 12 inches. Its apothem is 16.5 inches and its radius is 17.5 inches. What is its area, in square inches?

   891
7. 7.

   Noah makes a regular hexagon sticker with sides of 4 cm. What is the area of the sticker in square centimeters, as a simplified radical?

   24√3
8. 8.

   Tala makes a regular hexagon quilt patch with sides of 12 cm. What is the area of the quilt patch in square centimeters, as a simplified radical?

   216√3
9. 9.

   Zee makes a regular hexagon clock face with sides of 14 cm. What is the area of the clock face in square centimeters, as a simplified radical?

   294√3
10. 10.

    Ari makes a regular hexagon table top with sides of 22 cm. What is the area of the table top in square centimeters, as a simplified radical?

    726√3