problem of nmo 2010 secondary

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
chironjib07
Posts: 2
Joined: Sun Dec 19, 2010 6:01 pm

problem of nmo 2010 secondary

ABC সমদ্বিবাহু ত্রিভুজে B কোনটি সমকোণ এবং AB=3।এর যেকোন শীর্ষকে কেন্দ্র করে একটি একক ব্যাসার্ধের বৃত্ত আকা হল।ত্রিভুজের যে অংশ বৃত্তের অর্ন্তভূক্ত নয় তার সবোচ্চ ক্ষেত্রফল বের কর।
solution ta kemon hobe seta ki kau help korben????

Zzzz
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Re: problem of nmo 2010 secondary

moved the topic. please choose the right forum for posting problems (read about the rules here)
Every logical solution to a problem has its own beauty.
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Hasib
Posts: 238
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Re: problem of nmo 2010 secondary

first guess which circle would have the larges area. Then, evalute the angle measurment. Then, let it be $\theta$. Now, this angle create a area which vertex is the centre of the circle. Use the formula now:
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