Question 1 - Past Year MCQ - Chapter 11 Class 10 Areas related to Circles

Last updated at August 12, 2026 by

If the area of a circle is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm, then diameter of the larger circle (in cm) is

(A) 34ย 

(B) 26

(C) 17ย 

(D) 14

ย 

This question is similar to Question 12 - NCERT Exemplar - MCQ - Chapter 12 Class 10 Areas related to Circles

[MCQ] - If the area of a circle is equal to the sum of areas of two - Past Year MCQ

part 2 - Question 1 - Past Year MCQ - Serial order wise - Chapter 11 Class 10 Areas related to Circles

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Transcript

Question 1 If the area of a circle is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm, then diameter of the larger circle (in cm) is (A) 34 (B) 26 (C) 17 (D) 14 Now, Area of 5 cm circle + Area of 12 cm circle = Area of circle with radius r ๐œ‹(5)2 + ๐œ‹(12)2 = ๐œ‹r2 52 + (12)2 = r2 25 + 144 = r2 169 = r2 r2 = 169 r = โˆš169 r = โˆš("132" ) r = 13 cm Thus, Diameter = 2 ร— 13 = 26 cm So, the correct answer is (B)

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