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.
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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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Long 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 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 cm2
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 cm2
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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)