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Areas Related to Circles

Short 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.

Let the inner radii of a circular track is r metre and outer radii be R metre respectively, then

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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.