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In this lesson, we will learn how to find 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.
Q2:
The perimeter of a regular pentagon is 85 cm. Find the area giving the answer to the nearest square centimetre.
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 5 4 √ 3 m2 . Find the side length of the hexagon giving the answer to the nearest metre.
Q14:
The perimeter of a regular pentagon is 70 cm. Find the area giving the answer to the nearest square centimetre.
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:
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.
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