Question
Download Solution PDFएका 25 सेमी व्यासाच्या वर्तुळात 21 सेमी लांब जीवा काढली आहे. केंद्रापासून जीवेचे लंब अंतर किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
जीवा = 21 सेमी
व्यास = 25 सेमी
संकल्पना:
जीवेवर मध्यभागी काढलेला लंब, जीवा दोन समान भागांमध्ये विभाजित करतो.
पायथागोरस प्रमेय:
OA2 = OD2 + AD2
गणना:
21 सेमी लांबीची जीवा ही AB मानू.
⇒ OD हे लंब अंतर मानू
⇒ AO ही वर्तुळाची त्रिज्या मानू
OA2 = OD2 + AD2
⇒ (25/2)2 = OD2 + (21/2)2
⇒ 625/4 = OD2 + 441/4
⇒ OD2 = 625/4 - 441/4 = 184/4 = 46
∴ OD = √46
Last updated on Jul 12, 2025
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