$3$A brooch is a decorative piece often worn on clothing like jackets, blouses or dresses to add elegance. Made from precious metals and decorated with gemstones, brooches come in many shapes and designs. 2025_CBSE_Mathematics_Set_Region1_Subset_Set1_Q37___p13_5

2025_CBSE_Mathematics_Set_Region1_Subset_Set1_Q37___p13_5

One such 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 shown in the figure. Based on the above given information, answer the following questions :

(i)Find the central angle of each sector. 1(ii)Find the length of the arc ACB. 1(iii)(a) Find the area of each sector of the brooch. 2

OR

(iii) (b) Find the total length of the silver wire used. Case Study - 3

Mathematics · Areas Related to Circles