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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 shows 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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Diameter, d = 35mm θ = \(\frac{360^o}{10}\) = 36° 

Radius, r = \(\frac{35}{2}\)mm 

(i) Length of the silver wire required : 

Length of the wire used in making 5 diameter + Circumference of 

Silver, wire required.

(ii) Area of each sector of the brooch = ? 

Diameter of the brooch, d = 35 mm 

Radius, r = \(\frac{35}{2}\)mm 

Angle at the centre, θ = \(\frac{360^o}{10}\) = 36°

The Area of each sector of the Brooch:

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