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Prove that the area of a circular path o...

Prove that the area of a circular path of uniform width `h` surrounding a circular region of radius `r` is `pih(2r+h)` .

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RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. Four equal circles, each of radius a , touch each other. Show that the...

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  2. A square water tank has its side equal to 40 m. There are four semi...

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  3. Prove that the area of a circular path of uniform width h surroundi...

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  4. Find the area of Fig. 15.68, in square cm, correct to one place of ...

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  5. In Fig. 15.69, A B and C D are two diameters of a circle perpendicu...

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  6. In Fig. 15.70, O A C B is a quadrant of a circle with centre O and ...

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  7. Find the area of the shaded region in Fig. 15.72, if A C=24\ c m , ...

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  8. In Fig. 15.72 (a) , O A B C is a square of side 7 cm. If O A P C is...

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  9. A regular hexagon is inscribed the circle. If the area of hexagon i...

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  10. A path of width 3.5 m runs around a semi-circular grassy plot whose...

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  11. A child makes a poster on a chart paper drawing a square A B C D of...

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  12. Three circles are placed on a plane in such a way that each circle ...

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  13. The diameters of front and rear wheels of a tractor are 80 cm and 2m r...

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  14. Find the area of the circle in which a square of area 64\ c m^2 is ...

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  15. The diameter of a wheel of a bus is 90 c m which makes 315 revolutions...

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  16. In Fig. 15.75, O E=20\ c m . In sector O B F T , square O E F G is i...

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  17. In Fig. 15.76, O is the centre of circle of radius 28 cm. Find the ...

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  18. In Fig. 15.77, P Q R S is a square of side 4 cm. Find the area of t...

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  19. A circle is inscribed in an equilateral triangle A B C is side 1...

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  20. In Fig. 15.80, an equilateral triangle A B C of side 6 cm has been ...

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