Q. 94.3( 299 Votes )

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


Answer :

(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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