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# The rectangular region contains two circles and a

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Eternal Intern
Joined: 07 Jun 2003
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The rectangular region contains two circles and a [#permalink]

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31 Jul 2003, 17:53
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The rectangular region contains two circles and a semicircle, each with a radius of 7. If is used as an approximation forπ, then the area of the shaded region is approximately ( Note: Shaded region is just the area inside the rectangle not covered by circles)
(A) 105
(B) 210
(C) 380
(D) 385
(E) 405
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Ride em cowboy

Eternal Intern
Joined: 07 Jun 2003
Posts: 467
Location: Lone Star State
Followers: 1

Kudos [?]: 137 [0], given: 0

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31 Jul 2003, 20:02
Hi Prakunda,

Explanation, I think I got but my Math came out messy.?
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Ride em cowboy

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31 Jul 2003, 20:11
See the attached picture.

Length of rectangle = 35
Width = 14

Area of rect. = 35*14=490

Area of 1st whole circle = pi*7^2 = 22/7 * 7^2 = 22*7=154
Area of 2nd whole circle = 154
Area of semicircle = 154/2=77
Total area of circles=154+154+77=385

Area of the rest=490-385=105
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