Question
Download Solution PDFवर्तुळाची त्रिज्या 5 सेमी आहे. या वर्तुळातील जीवा AB ची लांबी 6 सेमी आहे. वर्तुळाच्या केंद्रापासून या जीवाचे अंतर किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
वर्तुळाची त्रिज्या 5 सेमी आहे.
या वर्तुळातील जीवा AB ची लांबी 6 सेमी आहे.
गणना:
OB ही वर्तुळाची त्रिज्या आणि OD ही केंद्रापासून जीवा AB पर्यंतचे अंतर असू द्या
आता,
आपल्याला माहित आहे की वर्तुळाच्या केंद्रापासून त्याच्या जीवापर्यंतचा लंब जीवा दुभाजक करतो.
OB2 = BD2 + OD2
⇒ 52 = 32 + OD2
⇒ 25 = 9 + OD2
⇒ OD2 = 16
⇒ OD = 4
∴ वर्तुळाच्या केंद्रापासून या जीवाचे अंतर 4 सेमी आहे.
Last updated on Jul 12, 2025
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