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If a circular garden with a radius of three feet is surrounded by a ci
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11 Feb 2021, 06:12
11 Feb 2021, 06:12
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If a circular garden with a radius of three feet is surrounded by a circular sidewalk two feet wide, then the area of the sidewalk is
A. \(4\pi\)
B. \(9\pi\)
C. \(12\pi\)
D. \(15\pi\)
E. \(16\pi\)
Kudos for the right answer and explanation
A. \(4\pi\)
B. \(9\pi\)
C. \(12\pi\)
D. \(15\pi\)
E. \(16\pi\)
Kudos for the right answer and explanation
Re: If a circular garden with a radius of three feet is surrounded by a ci
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11 Feb 2021, 09:32
11 Feb 2021, 09:32
Hi,
We can draw two circles, something similar to a ring, With 2 different radius
The smaller one(circular garden) =3
the greater one (circular garden+sidewalk)= 3+2=5
Area of the circle=pi*r^2
Thus, Area of smaller circle=9pi
Area of greater circle=25pi
Now, as we need the area of sidewalk, Area of the greater circle - Area of the smaller circle=25pi-9pi- 16pi
IMO E
We can draw two circles, something similar to a ring, With 2 different radius
The smaller one(circular garden) =3
the greater one (circular garden+sidewalk)= 3+2=5
Area of the circle=pi*r^2
Thus, Area of smaller circle=9pi
Area of greater circle=25pi
Now, as we need the area of sidewalk, Area of the greater circle - Area of the smaller circle=25pi-9pi- 16pi
IMO E
gmatclubot
Re: If a circular garden with a radius of three feet is surrounded by a ci [#permalink]
11 Feb 2021, 09:32
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