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 brooch are shown below. Observe them carefully.

A brooch is a small piece - Teachoo.jpg

Design A: Brooch A is made with silver wire in the form of a circle with diameter 28mm. The wire used for making 4 diameters which divide the circle into 8 equal parts.
Design B: Brooch b is made two colours_Gold and silver. Outer part is made with Gold. The circumference of silver part is 44mm and the gold part is 3mm wide everywhere.

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Refer to Design A

Question 1

The total length of silver wire required is
(a) 180 mm
(b) 200 mm
(c) 250 mm
(d) 280 mm

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Question 2

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

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Refer Design B:

Question 3

he circumference of outer part (golden) is
(a) 48.49 mm
(b) 82.2 mm
(c) 72.50 mm
(d) 62.86 mm

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Question 4

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

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Question 5

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

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  1. Chapter 12 Class 10 Areas related to Circles (Term 1)
  2. Serial order wise

Transcript

Question 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 brooch are shown below. Observe them carefully. Design A: Brooch A is made with silver wire in the form of a circle with diameter 28mm. The wire used for making 4 diameters which divide the circle into 8 equal parts. Design B: Brooch b is made two colours_Gold and silver. Outer part is made with Gold. The circumference of silver part is 44mm and the gold part is 3mm wide everywhere.Refer to Design A Question 1 The total length of silver wire required is (a) 180 mm (b) 200 mm (c) 250 mm (d) 280 mm(b) 200 mm Question 2 The area of each sector of the brooch is (a) 44 mm2 (b) 52 mm2 (c) 77 mm2 (d) 68 mm2(c) 77 mm2 Refer Design B: Question 3 he circumference of outer part (golden) is (a) 48.49 mm (b) 82.2 mm (c) 72.50 mm (d) 62.86 mm(d) 62.86 mm Question 4 The difference of areas of golden and silver parts is (a) 18 ๐œ‹ (b) 44 ๐œ‹ (c) 51 ๐œ‹ (d) 64 ๐œ‹(c) 51 ๐œ‹ Question 5 A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80 ๐œ‹ mm? (a) 2 (b) 3 (c) 4 (d) 5(c) 4

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.