Question
Download Solution PDFনীচের চিত্র হিসাবে চিত্রটি বিবেচনা করুন, যদি কোণ ABO = 30° হয় এবং বৃত্তের পরিধি 44 সেমি হয়, তবে স্পর্শক AB এর দৈর্ঘ্য নির্ধারণ করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFবৃত্তের পরিধি = 2πr
⇒ 44 = 2 × (22/7) × (r)
⇒ r = AO = 7 সেমি
বৃত্তের স্পর্শক স্পর্শকাতৃত্বের বিন্দুতে আঁকানো ব্যাসার্ধের সাথে লম্ব হয়।
সুতরাং ∆AOB হ'ল একটি সমকোণী ত্রিভুজ
⇒ tan 30° = OA/AB
⇒ 1/√3 = 7/AB
⇒ AB = 7√3
∴ অতএব AB = 7√3
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