# Worksheet: Areas of Regular Polygons

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

**Q1: **

Find the area of a regular 14-sided polygon given the side length is 21 cm. Give 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 centimeter.

**Q13: **

A flower bed 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 meter.

**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.

**Q21: **

Determine, to the nearest hundredth, the area of a regular hexagon whose circumcircle is .