CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1 · Question 37

Areas Related to Circles 4 marks Medium

Case Study - 2: 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. 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.

Circle divided into 10 equal sectors by 5 diameters

(i)Find the central angle of each sector.[1]
(ii)Find the length of the arc $A C B$ .[1]
(iii)(a)Find the area of each sector of the brooch.[2]
(iii)(b)OR — Find the total length of the silver wire used.[2]

Answer

(i) The central angle of each sector is

3 6^{\circ}

; (ii) The length of arc

A C B

11

mm; (iii)(a) The area of each sector is

\frac{385}{4} mm^{2} = 96.25 mm^{2}

; (iii)(b) The total length of silver wire used is

285

mm.

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1 · Question 37

Answer

From the board paper

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