A field is in the form of a circle. The cost of ploughing the fi

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 Multiple Choice QuestionsShort Answer Type

151. The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of Rs. 2 per metre.
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152. A field is in the form of a circle. The cost of ploughing the field at Rs. 1.50 per m2 is Rs. 5775. Find the cost of fencing the field at Rs. 8.50 per metre.


Area of the field


Area of the field
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153. Find the area of the shaded region in Fig. 12.72, where ABCD is a square of side 14 cm.


Fig. 12.72
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 Multiple Choice QuestionsLong Answer Type

154. In figure, abc is a right angled triangle right-handed at A. Semi-circles are drawn on AB, AC and BC as diameter. Find the area of the shaded region.



Fig. 12.73

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 Multiple Choice QuestionsMultiple Choice Questions

155. A chord of a circle of radius 14 cm subtends a right angle at the centre. What is the area of the minor sector?
  • 152 cm2
  • 154 cm2
  • 155 cm2  
  • 155 cm2  
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156. The area of shaded region is (Fig. 12.89)



  • 540 cm2
  •  545 cm2
  • 550 cm2
  • 550 cm2
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157. A chord of a circle of radius 14 cm substends 60° at the centre. Find the area of the major sector. (Fig. 12.90)



Fig. 12.90
  • 513 cm

  • 513 1 third space cm squared
  • 514 cm2

  • 514 cm2

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158. The area of a sector of a circle with radius 6 cm and angle 60° is
  • 132 over 7 cm squared
  • 132 cm

  • 132 1 half space cm squared
  • 132 1 half space cm squared
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159. The perimeter of a sector of a circle with radius 10.5 cm and angle at centre 60° is
  •  22 cm
  • 32 cm 
  • 42 cm
  • 42 cm
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160. If arc length is 8.8 cm and ө = 30° then the length of pendulam given below is : (Fig. 12.91)


Fig. 12.91.
  • 16.8 cm 
  • 15 cm
  • 14 cm
  • 14 cm
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