8 সেমি ব্যাসার্ধের দুটি সমান বৃত্ত একে অপরকে এমনভাবে ছেদ করে যে প্রতিটি অন্যটির কেন্দ্রের মধ্য দিয়ে যায়। সাধারণ জ্যার দৈর্ঘ্য হল:

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. \(8\sqrt3\) সেমি 
  2. \(\sqrt 3\) সেমি 
  3. \(2\sqrt3\) সেমি 
  4. \(4\sqrt3\) সেমি 

Answer (Detailed Solution Below)

Option 1 : \(8\sqrt3\) সেমি 
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Detailed Solution

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প্রদত্ত:

বৃত্তগুলির ব্যাসার্ধ হল 8 সেমি।

গণনা:

F1 ArunK Madhuri 11.03.2022 D6

চিত্র অনুযায়ী,

AD = DB

O1O2 = 8

আবার O1A = O2A = 8 [বৃত্তের ব্যাসার্ধ]

∠ADO1 = 90°

O1D = O2D = 4

AD = √(64 - 16)

⇒ √48 = 4√3

AB = 2 × 4√3 = 8√3

∴ সাধারণ জ্যার দৈর্ঘ্য হল 8√3 সেমি।

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