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Lesson: Areas of Regular Polygons

Video: Areas of Regular Polygons

15:25

Worksheet: Areas of Regular Polygons • 16 Questions

Q1:

Find the area of a regular 14-sided polygon given the side length is 21 cm. Give the answer to two decimal places.

Q2:

Find the area of a regular 15-sided polygon given the side length is 66 cm. Give the answer to two decimal places.

Q3:

The side of a regular octagon is 5 cm long. Find the area of the octagon giving the answer to two decimal places.

Q4:

The side length of a regular pentagon is 13 cm. Find the area of the pentagon giving the answer to three decimal places.

Q5:

The side length of a regular pentagon is 6 cm. Find the area of the pentagon giving the answer to three decimal places.

Q6:

The perimeter of a regular pentagon is 85 cm. Find the area giving the answer to the nearest square centimeter.

  • A 497 cm2
  • B 262 cm2
  • C 994 cm2
  • D 1 395 cm2
  • E 751 cm2

Q7:

Find the area of a regular hexagon with a side length of 35 cm giving the answer to two decimal places.

Q8:

Find the area of a regular hexagon with a side length of 38 cm giving the answer to two decimal places.

Q9:

A regular heptagon has a side length of 89 cm. Find the area giving the answer to two decimal places.

Q10:

A regular heptagon has a side length of 36 cm. Find the area giving the answer to two decimal places.

Q11:

The side of a regular octagon is 11 cm long. Find the area of the octagon giving the answer to two decimal places.

Q12:

The perimeter of a regular pentagon is 70 cm. Find the area giving the answer to the nearest square centimeter.

  • A 337 cm2
  • B 178 cm2
  • C 674 cm2
  • D 946 cm2
  • E 509 cm2

Q13:

Find the area of the shaded region rounded to the nearest tenth.

Q14:

Find the area of the shaded region rounded to the nearest tenth.

Q15:

The shown figure represents a circle inside a regular hexagon. Find the area of the shaded regions, giving your answer to the nearest tenth.

Q16:

Find the total area of the shaded regions in the regular polygons below, giving your answer to the nearest tenth.

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