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Enclosed by a fence (GMAT Prep)

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alex.gellatly GMAT Destroyer! Default Avatar
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Enclosed by a fence (GMAT Prep) Post Mon Jul 02, 2012 10:56 pm
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  • Lap #[LAPCOUNT] ([LAPTIME])
    The figure shown (see attachment) represents a piece of land that is in the shape of a quarter circle. If the land is enclosed by a fence, which of the following is closest to the length, in feet, of the fence?

    278
    341
    357
    400
    441
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    theCEO Really wants to Beat The GMAT! Default Avatar
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    Post Mon Jul 02, 2012 11:02 pm
    lenght of lines = 2 * 100 = 200

    length of arc = 2 x pie * r * 0.25
    = 50 * 3.14

    evaluate 200 + 50*3.1
    evaluate 200 + 50*3.2

    The answer should be between these limits

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    Anurag@Gurome GMAT Instructor
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    Post Mon Jul 02, 2012 11:13 pm
    alex.gellatly wrote:
    The figure shown (see attachment) represents a piece of land that is in the shape of a quarter circle. If the land is enclosed by a fence, which of the following is closest to the length, in feet, of the fence?
    The radius of the circle, r = 100 feet
    Circumference of the circle = 2πr = 200π feet

    Length of the fence = (2*r + 1/4 of circumference) = (200 + 50π) feet ≈ (200 + 50*3.14) feet = (200 + 157) feet = 357 feet

    The correct answer is C.

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