Barisal Secondary 2017#3

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samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
Barisal Secondary 2017#3

Unread post by samiul_samin » Sat Feb 24, 2018 1:48 am

Screenshot_2018-02-23-14-08-50-1.png
The radius of the smallcircles are $5$ unit.The area if the shaded portion of the figure is $a\pi(b+c\sqrt d)-e$ square unit. What is the value of $a+b+c+d+e$?($d$ is not a perfect square number and $a,b,c,d,e$ are natural numbers.)

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

Re: Barisal Secondary 2017#3

Unread post by samiul_samin » Sat Feb 24, 2018 1:49 am

Hint
Use Symettry
Answer
$255$

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

Re: Barisal Secondary 2017#3

Unread post by samiul_samin » Sun Feb 17, 2019 8:23 am

samiul_samin wrote:
Sat Feb 24, 2018 1:48 am
Screenshot_2018-02-23-14-08-50-1.png

The radius of the smallcircles are $5$ unit.The area if the shaded portion of the figure is $a\pi(b+c\sqrt d)-e$ square unit. What is the value of $a+b+c+d+e$?($d$ is not a perfect square number and $a,b,c,d,e$ are natural numbers.)
Screenshot_2019-02-17-08-20-03-1.png

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