वर्तुळाच्या जीवेची लांबी 24 सेमी आहे, केंद्र आणि जीवा मधील लंब अंतर 5 सेमी आहे.तर वर्तुळाची त्रिज्या किती आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 10 सेमी
  2. 13 सेमी
  3. 12 सेमी
  4. 24 सेमी

Answer (Detailed Solution Below)

Option 2 : 13 सेमी
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दिलेल्याप्रमाणे:

वर्तुळाच्या जीवेची लांबी 24 सेमी आहे, केंद्र आणि जीवेमधील लंब अंतर 5 सेमी आहे.

वापरलेली संकल्पना:

केंद्रापासून लंब अंतर वापरून जीवा लांबी =  (येथे r = वर्तुळाची त्रिज्या, d = केंद्र आणि जीवा दरम्यान अंतर)

गणना:

वर्तुळाची त्रिज्या R मानूया

येथे,

AB = 24 सेमी लांब जीवा

OD = केंद्र आणि जीवा दरम्यान लंब अंतर

OB = त्रिज्या

संकल्पनेनुसार,

24 = 

⇒ 12 = 

⇒ 144 = R2 - 52

⇒ R2 = 169

⇒ R = 13

∴ वर्तुळाची त्रिज्या 13 सेमी आहे.

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