CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

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Question 17 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at September 9, 2025 by

The circumferences of two circles are in the ratio 3 : 4. The ratio of - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic part 2 - Question 17 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10 part 3 - Question 17 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 17 The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is (A) 3 : 4 (B) 4 : 3 (C) 9 : 16 (D) 16 : 9Let the radius of two circles be r1 and r2 Given ratio of their circumferences is 3 : 4 So, (πΆπ‘–π‘Ÿπ‘π‘’π‘šπ‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘œπ‘“ 1^𝑠𝑑 π‘π‘–π‘Ÿπ‘π‘™π‘’)/(πΆπ‘–π‘Ÿπ‘π‘’π‘šπ‘“π‘’π‘Ÿπ‘’π‘›π‘π‘’ π‘œπ‘“ 2^𝑛𝑑 π‘π‘–π‘Ÿπ‘π‘™π‘’)=3/4 (2πœ‹π‘Ÿ_1)/(2πœ‹π‘Ÿ_2 )=3/4 𝒓_𝟏/𝒓_𝟐 =πŸ‘/πŸ’ Now, we need to find ratio of their areas So, Ratio of their areas = (π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ 1^𝑠𝑑 π‘π‘–π‘Ÿπ‘π‘™π‘’)/(π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ 2^𝑛𝑑 π‘π‘–π‘Ÿπ‘π‘™π‘’) = (πœ‹(π‘Ÿ_1 )^2)/(πœ‹(π‘Ÿ_2 )^2 ) = (π‘Ÿ_1 )^2/(π‘Ÿ_2 )^2 =(𝒓_𝟏/𝒓_𝟐 )^𝟐 Putting value from (1) =(3/4)^2 =πŸ—/πŸπŸ” Thus, required ratio is 9 : 16 So, correct answer is (c)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo