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

Unread post by chironjib07 » Mon Feb 07, 2011 2:56 pm

:?: :?: :?: 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????

User avatar
Zzzz
Posts: 172
Joined: Tue Dec 07, 2010 6:28 am
Location: 22° 48' 0" N / 89° 33' 0" E

Re: problem of nmo 2010 secondary

Unread post by Zzzz » Mon Feb 07, 2011 3:06 pm

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.
(Important: Please make sure that you have read about the Rules, Posting Permissions and Forum Language)

Hasib
Posts: 238
Joined: Fri Dec 10, 2010 11:29 am
Location: খুলনা, বাংলাদেশ
Contact:

Re: problem of nmo 2010 secondary

Unread post by Hasib » Mon Feb 07, 2011 4:44 pm

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:
area$=(\pi r^2)\times \frac{\theta}{360}$
A man is not finished when he's defeated, he's finished when he quits.

Post Reply