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# If the radius of a circle is increased by 10%, by how much

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Senior Manager
Joined: 02 Oct 2005
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If the radius of a circle is increased by 10%, by how much  [#permalink]  23 Oct 2005, 11:58
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If the radius of a circle is increased by 10%, by how much
is its area increased?

A. 25%
B. 21%
C. 20%
D. 15%
E. 10%
Manager
Joined: 04 Oct 2005
Posts: 246
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[#permalink]  23 Oct 2005, 12:03
Area of circle A = pi*r^2

increase r by 10%
new area is: pi*(1.1r)^2 = 1.21*pi*r^2

thus area is increased by 21%
Senior Manager
Joined: 02 Oct 2005
Posts: 297
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Kudos [?]: 8 [0], given: 0

[#permalink]  23 Oct 2005, 15:51
OA is B and here is the explanation:

The formula for the radius of the original circle is

The formula for the new radius is

= Pi((1.1 * radius)2)
= Pi(1.21 * radius2)

Thus, the area of the circle is increased by 21%.
[#permalink] 23 Oct 2005, 15:51
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# If the radius of a circle is increased by 10%, by how much

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