BdMO National Higher Secondary 2010/2

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
BdMO
Posts:134
Joined:Tue Jan 18, 2011 1:31 pm
BdMO National Higher Secondary 2010/2

Unread post by BdMO » Mon Feb 07, 2011 12:07 am

Problem 2:
Isosceles triangle $ABC$ is right angled at $B$ and $AB = 3$. A circle of unit radius is drawn with its centre on any of the vertices of this triangle. Find the maximum value of the area of that part of the triangle that is not shared by the circle.

TASDID
Posts:1
Joined:Thu Dec 29, 2011 7:11 pm

Re: BdMO National Higher Secondary 2010/2

Unread post by TASDID » Sat Dec 31, 2011 12:42 am

is it's answer 9/2-11/28.considered C as the central point of circle.1/8 area of the circle is covered by triangle

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Higher Secondary 2010/2

Unread post by samiul_samin » Mon Feb 25, 2019 3:28 pm

TASDID wrote:
Sat Dec 31, 2011 12:42 am
is it's answer 9/2-11/28.considered C as the central point of circle.1/8 area of the circle is covered by triangle
Correct answer is :
\[\dfrac{9}{2}-\dfrac{\pi}{8}\]

Post Reply