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Chapter 12 Class 10 Areas related to Circles
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This question is inspired from Ex 12.3, 11 - Chapter 12 Class 10 - Areas Related to Circles

In a class activity, Sheena does a block painting on a square handkerchief as shown in figure. She made nine designer circles each of radius 7 cm

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Question 1

What is the area of the nine circles?

(A) 154 cm 2                 (B) 145 cm 2

(C) 1386 cm 2               (C) 1836 cm 2  

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Question 2

What is the side of the square?

(A) 22 cm                 (B) 44 cm

(C) 24 cm                 (C) 42 cm

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Question 3

What is the area of square?

(A) 1764 cm 2    (B) 1674 cm 2

(C) 1476 cm 2    (C) 1746 cm 2

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Question 4

What is the area of remaining portion of square?

(A) 837 cm 2               (B) 378 cm 2

(C) 738 cm 2              (C) 383 cm 2

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Question 5

The given problem is based on which mathematical  concept?

(a) Areas Related to circles                        (b) Circles

(c) Construction                                          (d) none of these

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Transcript

Question In a class activity, Sheena does a block painting on a square handkerchief as shown in figure. She made nine designer circles each of radius 7 cm Question 1 What is the area of the nine circles? (A) 154 cm2 (B) 145 cm2 (C) 1386 cm2 (C) 1836 cm2 Given Radius of circle = 7 cm Thus, Circular Design is a circle with radius 7 cm Area of 9 circles = 9 × Area of circle with radius 7 cm = 9 × 𝜋(7)2 = 9 × 22/7 × 7 × 7 = 9 × 22 × 7 = 9 × 154 = 1386 cm2 So, the correct answer is (C) Question 2 What is the side of the square? (A) 22 cm (B) 44 cm (C) 24 cm (C) 42 cm Here, Side of square = 3 × Diameter of circle = 3 × 2 × Radius of circle = 6 × Radius = 6 × 7 = 42 cm So, the correct answer is (C) Question 3 What is the area of square? (A) 1764 cm2 (B) 1674 cm2 (C) 1476 cm2 (C) 1746 cm2Now, Area of square = (Side)2 = (42)2 = 1764 cm2 So, the correct answer is (a) Question 4 What is the area of remaining portion of square? (A) 837 cm2 (B) 378 cm2 (C) 738 cm2 (C) 383 cm2Area of remaining portion = Area of square – Area of 9 circles = Area of square – 9 × Area of 1 circle = 1764 − 9 × 154 = 1764 − 1386 = 378 cm2 So, the correct answer is (b) Question 5 The given problem is based on which mathematical concept? (a) Areas Related to circles (b) Circles (c) Construction (d) none of these The given problem is based on Area related to circles So, the correct answer is (a)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.