## 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 mm

^{2}

(b) 52 mm

^{2}

(c) 77 mm

^{2}

(d) 68 mm

^{2}

*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) 18π

(b) 44π

(c) 51π

(d) 64π

**(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 80π mm ?**(a) 2

(b) 3

(c) 4

(d) 5