Multiple choice

The area enclosed between the circumference of two concentric circles is 16 π sq. cm and their radii are in the ratio of 5 : 3. What is the area of the outer circle? दो संकेंद्रीय वृत्तों की परिधि के बीच का क्षेत्रफल 16 π वर्ग सेमी है और उनकी त्रिज्याओं में अनुपात 5: 3 है । बाहरी वृत्त का क्षेत्रफल कितना है?

  1. 9 π sq. cm/वर्ग सेमी

  2. 16 π sq. cm/वर्ग सेमी

  3. 25 π sq. cm/वर्ग सेमी

  4. 36 π sq. cm/वर्ग सेमी

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C Correct answer
Explanation

Area between circles = πR² - πr² = 16π. Given R:r = 5:3, let R = 5k, r = 3k. Then π(25k² - 9k²) = 16πk² = 16π, so k² = 1, k = 1. Therefore R = 5 cm, and area of outer circle = π × 5² = 25π sq. cm. This tests understanding of concentric circles area relationship and ratio application.