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A B C D E F is a regular hexagon with...

`A B C D E F` is a regular hexagon with centre `O` (Fig. 15.85). If the area of triangle `O A B` is `9\ c m^2` , find the area of: (i) the hexagon and (ii) the circle in which the hexagon is inscribed. (FIGURE)

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RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. The area of a sector is one-twelfth that of the complete circle. Fi...

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  2. The radius of a circle with centre O is 5 cm. (Fig. 15.84). Two rad...

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  3. A B C D E F is a regular hexagon with centre O (Fig. 15.85). If ...

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  4. Find the area enclosed between two concentric circles of radii 3.5 ...

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  5. A path of 4 m width runs round a semi-circular grassy plot whose circu...

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  6. Fig. 15.87, shows the cross-section of railway tunnel. The radius O...

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  7. In Fig. 15.90, O is the centre of a circular arc and A O B is a ...

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  8. In Fig. 15.92, two circles with centres A and B touch each other at...

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  9. In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c...

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  10. In Fig. 15.95, the boundary of the shaded region consists of four s...

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  11. In Fig. 15.98, A B C is a right angled triangle in which /A=90o , A...

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  12. In Fig. 15.99, a square O A B C is inscribed in a quadrant O P B Q ...

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  13. Two circular pieces of equal radii and maximum area, touching each ...

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  14. In the given figure, three semicircles are drawn of diameter 10 cm, 7 ...

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  15. In Fig. 15.101, A B C D is a trapezium of area 24. 5\ c m^2 . In it...

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  16. In Fig. 15.103, from a rectangular region A B C D with A B=20\ c m , a...

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  17. What is the ratio of the areas of a circle and an equilateral trian...

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  18. The circumference of two circles are in the ratio 2\ :3 . Find the ...

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  19. Write the area of the sector of a circle whose radius is r and l...

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  20. What is the length (in terms of pi ) of the arc that subtends an angle...

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