Multiple choice

The circumference of two circles is 132 cm. and 308 cm. respectively. What is the difference between the area of the larger circle and that of the smaller circle? दो वृत्तों की परिधि क्रमशः 132 सेमी. और 308 सेमी. हैं। बड़े वृत्त के क्षेत्रफल और छोटे वृत्त के क्षेत्रफल में क्या अन्तर है ?

  1. 5936 cm.2/सेमी2

  2. 5879 cm.2/सेमी2

  3. 6160 cm.2/सेमी2

  4. 5286 cm.2/सेमी2
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C Correct answer
Explanation

For circumferences C1 = 132, C2 = 308. Radii: r1 = 132/(2π) = 21, r2 = 308/(2π) = 49. Areas: A1 = π(21)² = 1386π, A2 = π(49)² = 2401π. Difference = π(2401 - 441) = 1960π = 6160 cm² (using π = 22/7). Direct formula: difference = π(r2² - r1²) = π(r2 - r1)(r2 + r1). Bigger circle has 49 cm radius, smaller has 21 cm radius.

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