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Chapter 12 Class 10 Areas related to Circles (Term 1)
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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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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 𝜋(5)2 + 𝜋(12)2 = 𝜋r2 52 + (12)2 = r2 25 + 144 = r2 169 = r2 r2 = 169 r = √169 r = √("132" ) r = 13 cm Thus, Diameter = 2 × 13 = 26 cm So, the correct answer is (B)

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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.