1. The area of a regular hexagon of side 6 cm is:
a) 54√3 cm²
b) 72√3 cm²
c) 108√3 cm²
d) 36√3 cm²

2. The area of a regular hexagon of side 2 cm is:
a) 6√3 cm²
b) 12√3 cm²
c) 3√3 cm²
d) 9√3 cm²

3. The ratio of the area of a square and an equilateral triangle having the same perimeter is:
a) 4 : √3
b) √3 : 4
c) 2 : √3
d) √3 : 2

4. Area of a regular hexagon of side 4 cm is:
a) 24√3 cm²
b) 48√3 cm²
c) 12√3 cm²
d) 36√3 cm²

5. A square and a regular hexagon are drawn such that all their vertices lie on a circle of radius 14 cm. The ratio of the area of the square to the area of the hexagon is:
a) 4 : 3√3
b) 3√3 : 4
c) 2 : 3
d) 4√3 : 9

6. A decorative tile is in the shape of a regular hexagon with side 8 cm. A craftsman charges ₹10 per cm² (use √3 = 1.73). Find the approximate cost of decorating one tile.
a) ₹1,320
b) ₹1,450
c) ₹1,560
d) ₹1,663

7. The perimeter of a regular hexagonal park is 60 m. Find the area of the park.
a) 120√3 m²
b) 140√3 m²
c) 150√3 m²
d) 160√3 m²

8. The area of a regular hexagonal plot is 216√3 sq. m. Find its perimeter.
a) 60 m
b) 66 m
c) 72 m
d) 78 m

9. A regular hexagon and an equilateral triangle have the same side length of 6 cm. Find the ratio of their areas.
a) 4 : 1
b) 5 : 1
c) 6 : 1
d) 7 : 1

10. A square and a regular hexagon are both inscribed in a circle of radius 7 cm. Find the ratio of the area of the square to the area of the hexagon.
a) 4 : 3√3
b) 3√3 : 4
c) 2 : 3√3
d) √3 : 2

ANSWERS