CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

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

Last updated at Sept. 9, 2025 by

Slide41.JPG

Slide42.JPG
Slide43.JPG

Remove Ads

Transcript

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

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