Question
Download Solution PDFएक वृत्त के केंद्र से 24 सेमी लंबी जीवा पर 5 सेमी लंबा लंब डाल गया है। वृत्त का व्यास ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
केंद्र से जीवा पर लंब = 5 सेमी
जीवा की लंबाई = 24 सेमी
प्रयुक्त सूत्र:
एक वृत्त में, केंद्र से जीवा पर लंब जीवा को समद्विभाजित करता है।
पाइथागोरस प्रमेय का प्रयोग करें: r2 = (जीवा का आधा)2 + दूरी2
गणना:
जीवा का आधा = 24 / 2 = 12 सेमी
माना, त्रिज्या = r
⇒ r2 = 122 + 52 = 144 + 25 = 169
⇒ r = √169 = 13 सेमी
व्यास = 2 × r = 2 × 13 = 26 सेमी
∴ वृत्त का व्यास = 26 सेमी
Last updated on Feb 22, 2025
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