RRB ALP Maths Polygon Practice Questions with Answers

Polygon is an important topic in the Mensuration section of the RRB ALP Maths syllabus. Questions are frequently asked on regular polygons, especially hexagons and octagons, covering concepts such as perimeter, area, circumradius, apothem, and the Cosine Rule. Practising different question types helps candidates improve conceptual understanding, calculation speed, and accuracy in the examination. 

Also Read: 

• RRB ALP Syllabus
• RRB ALP Previous Year Question Papers

RRB ALP Polygon Practice Questions with Answers

Below are several exam-oriented questions based on regular polygons. These questions cover concepts such as area, perimeter, circumradius, the Cosine Rule, and polygon formulas. Solving these questions helps candidates understand how formulas are applied in different situations.

Question 1: The area of a square is 9 cm². Its perimeter is equal to the perimeter of a regular hexagon. What is the area of the hexagon?

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Question 2: In the given figure, PQRSTU is a regular hexagon of side 12 cm. Find the area of triangle SQU.

Question 3: The side of a regular hexagon is 12 cm. Find the area of △ECD.

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Question 4: Find the length of each side of a regular octagon whose area is 816 m².

Use:

Options

(a) 13

(b) 20

(c) 17

(d) 18

Answer: (a) 13

Question 5: Find the area of a regular octagon whose perimeter is 16 cm.

Question 6: Find the area of a regular octagon whose perimeter is equal to the perimeter of a square having an area of 450 cm².

Options

Answer:

Question 7: A regular octagonal fountain has a circumradius of 10 m. Find the approximate length of each side.

Options

(a) 6.13 m

(b) 8.71 m

(c) 7.65 m

(d) 9.27 m

Answer: (c) 7.65 m

Question 8: A pentagon is divided into three triangles by drawing diagonals from one vertex. Two triangles have areas 24 cm² and 30 cm². The third triangle has a base of 12 cm and a height of 38 cm. Find the area of the pentagon.

Options

(a) 242

(b) 228

(c) 275

(d) 282

Answer: (d) 282

Question 9: A regular polygon has 45 sides, and each side is 2 cm long. Find its area.

Options

(a) 45

(b) 45 cos ⁡4∘

(c) 45 cot ⁡4∘

(d) 45 tan ⁡4∘

Answer: (c) 45 cot ⁡4∘

Question 10: A regular hexagon is inscribed inside a circle of radius 14 cm. Find the approximate area of the hexagon.

Options

(a) 500 cm²

(b) 509 cm²

(c) 520 cm²

(d) 530 cm²

Answer: (b) 509 cm²

Polygons are an important scoring topic in the RRB ALP Maths Mensuration section. You should remember the formulas for regular polygons, especially hexagons and octagons, and understand how to apply concepts such as perimeter, area, apothem, circumradius, and the Cosine Rule. Regular practice with different types of questions will help you improve your calculation speed and accuracy for the examination.