# Case Study Questions for Class 10 Maths Chapter 12 Areas Related to Circles

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## Case Study Questions for Class 10 Maths Chapter 12 Areas Related to Circles

Case Study Questions

Question 1:

A brooch is a small piece of jewellery which has a pin at the back so it can be fastened on a dress, blouse or coat. Designs of some broochs are shown below. Observe them carefully

Design A: Brooch A is made with silver wire in the form of a circle with diameter 28 mm. A wire used for making 4 diameters which divide the circle into 8 equal parts.

Design B: Brooch B is made of two colours gold and silver. Outer part is made with gold. The circumference of silver part is 44 mm and the gold part is 3 mm wide everywhere.

Based on the above information, answer the following questions:

Refer to design A
(i) The total length of silver wire required is
(a) 180 mm
(b) 200 mm
(c) 250 mm
(d) 280 mm

(ii) The area of each sector of the brooch is
(a) 44 mm2
(b) 52 mm2
(c) 77 mm2
(d) 68 mm2

Refer to design B
(iii) The circumference of outer part (golden) is
(a) 48.49 mm
(b) 82.2 mm
(c) 72.50 mm
(d) 62.86 mm

(iv) The difference of areas of golden and silver parts is
(a) 18Ï€
(b) 44Ï€
(c) 51Ï€
(d) 64Ï€

(v) A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80Ï€ mm ?
(a) 2
(b) 3
(c) 4
(d) 5

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