# 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 Fig. 12.12. Find:(i) The total length of the silver wire required(ii) The area of each sector of the brooch

(i) To Calculate total length of wire required to make brooch, we need to find Circumference of Brooch and the length of 5 diameters of Brooch.

Diameter of Circle = 35 mm

Radius of Circle = 35/2 mm

Circumference of Circle = 2 π r

Total Length of wire required = Circumference of Circle + 5 x Diameter of Circle

Total Length of wire required = 110 + 5 x 35

Total Length of wire required = 285 mm

(ii)

A complete Circle subtends an angle of 360º

10 sectors = 360º

1 sector will subtend = 36º

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