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 . Find:
(i) the total length of the silver wire required.
(ii) the area of each sector of the brooch.
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Diameter =35mm
∴ Circumference of circle
=2×π×r =2×π×17.5=110mm
i) The total length of the silver wire = 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
= 385/4 mm2
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