Joy Shaha
Joy Shaha
8 years ago

A goat is tied to corner of a square plot of side 12m by a 7m long. Find the area it can graze?

A. 19.25 sq m

B. 155 sq. m

C. 144 sq. m

D. 38.48 sq. m

E. None of these


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Comments ( 3 )

  1. Achilles Nakirekanti
    Achilles Nakirekanti :
    7 years ago

    Since the goat is tied to one corner of a square plot, so it can graze only ¼ th of the circle produced with 7 meter rope as radius.
    so area covered = ((22/7)*7*7)/4 = 38.5 square meter.

  2. Kumar Chandan
    Kumar Chandan :
    8 years ago

    Goat Can covered the Area with string of 7 m i.e. radius 7 m,
    = pi * r*r
    = 3.14 * 7 *7
    = 153.86 sq. m.
    But Goat can gaze only one quadrant of the square.
    Gazed Area that will be in square,
    = 1/4 * 153.86
    = 38. 48 sq. m (Approx).

  3. Sudhakar Prajapati
    Sudhakar Prajapati :
    8 years ago

    Correct Answer = 38.5 sq. m
    Solution :
    Area covered by goat = Pi*r^2/4 ( here we divide by 4 because rope is tied at the corner of the plot and only 1/4 part , the goat can graze
    where
    r= 7
    m = length of rope

    so area = (22/7)*7*7/4 = 38.5 sq. m

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