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.
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Answer:
Diameter =35mm
∴ Circumference of circle
=2×π×r =2×π×17.5=110mm
i) The total length of the silver wire required
= Circumference of circle + (5×35)
=110+175 = 285mm
(ii) The area of each sector of the brooch
= Area of circle
10
= π×17.5×17.5
10
= 385. mm²
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