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Solution


Q.

A brooch is a small piece of jewelry that features a pin on the back, allowing it to be fastened to a dress, blouse, or coat. Below are designs for some brooches.

Design A: Brooch A is crafted from silver wire in the shape of a circle with a diameter of 28 mm. The wire is also used to create 4 diameters, dividing the circle into 8 equal parts.

Design B: Brooch B is made with two colors, gold and silver. The outer portion is made of gold. The circumference of the silver section is 44 mm, and the gold section is uniformly 3 mm wide.

Based on the above information answer the following questions:

 

(i) In design A, what is the total length of the wire required
1 200 m
2 400 m
3 600 m
4 500 m

Ans.

(1)

In design A, diameter of the circle is 28 mm.

∴Circumference of the circle=π×28 mm=227×28 mm=88 mm

Length of the wire used in 4 diameters

=4×28 mm=112 mm

∴Total length of the required wire=112+88 mm=200 mm