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

 

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

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

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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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.