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

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 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)