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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:

 

(iii) (a) In design B, find the circumference of the outer part (golden).
1 7 mm  
2 6 mm  
3 5 mm  
4 4 mm  

Ans.

(1) 

Let r mm be the radius of the silver part. Then,

2×227×r=44⇒r=7 mm.