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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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.
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).
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