Question
Download Solution PDF25 সেমি ব্যাসের একটি বৃত্তে 21 সেমি লম্বা একটি জ্যা আঁকা হয়। কেন্দ্র থেকে জ্যার লম্ব দূরত্ব কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
জ্যা = 21 সেমি
ব্যাস = 25 সেমি
ধারণা:
জ্যার উপর কেন্দ্র থেকে আঁকা লম্ব, জ্যাকে দুটি সমান অংশে বিভক্ত করে।
পিথাগোরাসের উপপাদ্য:
OA2 = OD2 + AD2
গণনা:
ধরা যাক, AB দৈর্ঘ্যের জ্যা 21 সেমি।
⇒ OD হল লম্ব দূরত্ব
⇒ AO বৃত্তের ব্যাসার্ধ
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 Jun 25, 2025
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