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Geometry
A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the wall is 11/25 of the area of the pool then radius of the pool in feet is
a) 20
b) 8
C) 16
d) 30
Read Solution (Total 5)
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- i thnk ans is 20.Bcoz let r be the radius of pool.
(11/25)(pi*r^2)=(pi(r+4)^2)-(pi*r^2)
By solving this we get ans as 20 - 11 years agoHelpfull: Yes(25) No(0)
- a) 20 ft.
If radius of pool=r ,wall thickness=4 ft.
I) Area of the pool= Pi*r^2
II) Area of the wall=Pi(r+4)^2-Pi*r^2= Pi*8(r+2)
Given Pi*8(r+2)=11/25[Pi*r^2]
11r^2-200r-400=0
(11r+20)(r-20)=0, r=20 - 11 years agoHelpfull: Yes(20) No(0)
- pi(r+4)^2 - pi(r^2)=11/25(pi(r^2)
so r=20 - 11 years agoHelpfull: Yes(4) No(0)
- here ans wil be 20
- 11 years agoHelpfull: Yes(2) No(2)
- ans is 50
- 8 years agoHelpfull: Yes(0) No(4)
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