In this worksheet, we will practice finding areas of regular polygons given their side lengths.

**Q1: **

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

**Q3: **

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

**Q4: **

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

**Q5: **

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

**Q6: **

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

**Q7: **

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

**Q8: **

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

**Q9: **

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

**Q10: **

If four congruent triangles are cut off from the corners of the rectangle to make an octagon as shown, what is the area of the octagon?

**Q11: **

A regular octagon has a side length of 88 cm. Find the area giving the answer to two decimal places.

**Q12: **

The base of a fish tank is a regular pentagon with a side length of 189 cm. Find the area of the base to the nearest square centimetre.

**Q13: **

A flowerbed is designed as a regular hexagon with an area of m^{2}
. Find the side length of the hexagon giving the answer to the nearest metre.

**Q15: **

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

**Q16: **

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

**Q17: **

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

**Q18: **

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

**Q19: **

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

**Q20: **

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