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A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in the figure. Find : (i) the total length of the silver wire required. (ii) the area of each sector of the brooch.

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Total length of wire required will be the length of 5 diameters and the circumference of the brooch. Radius of circle = Circumference of brooch = 2πr = 110 mm Length of wire required = 110 + 5 × 35 = 110 + 175 = 285 mm It can be observed from the figure that each of 10 sectors of the circle...
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Total length of wire required will be the length of 5 diameters and the circumference of the brooch. Radius of circle = Circumference of brooch = 2πr = 110 mm Length of wire required = 110 + 5 × 35 = 110 + 175 = 285 mm It can be observed from the figure that each of 10 sectors of the circle is subtending 36° at the centre of the circle. Therefore, area of each sector = read less
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