दोन वर्तुळांचा परिघ अनुक्रमे 110 सेमी आणि 330 सेमी आहे. तर त्यांच्या त्रिज्यांमध्ये किती फरक आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. 70 सेमी
  2. 15 सेमी
  3. 46 सेमी
  4. 35 सेमी

Answer (Detailed Solution Below)

Option 4 : 35 सेमी
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दिलेले आहे:

दोन वर्तुळांचा परिघ अनुक्रमे 110 सेमी आणि 330 सेमी आहे.

वापरलेली संकल्पना:

वर्तुळाचा परिघ  = 2πR (R = त्रिज्या)

गणना:

समजा मोठ्या आणि लहान वर्तुळांची त्रिज्या अनुक्रमे R आणि r आहे.

त्यांच्या त्रिज्यामधील फरक = (R - r)

संकल्पनेनुसार,

2πR - 2πr = 330 - 110

⇒ 2π(R - r) = 220

⇒ 44/7 × (R - r) =  220

⇒ (R - r) = (220 × 7)/44

⇒ (R - r) = 35

∴ त्यांच्या त्रिज्यांमधील फरक 35 सेमी आहे.

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