A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?
(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m
PLEASE EXPLAIN ALSO..

• 38.5 sq m
  
  Area covered by goat = Pi*r^2/4
  whre r= 7 m = length of rope
  
  so area = (22/7)*7*7/4 = 38.5 sq m
• 12 years agoHelpfull: Yes(41) No(6)
• @ Vinay,
  
  Because the goat is tied to a corner of square plot.
  
  It can only graze in 1/4 th of circle of radius equal to lrngth of rope inside that square plot.
  
  I agree with Dipin.
• 12 years agoHelpfull: Yes(13) No(2)
• ACTUALLY I SOLVED THE PROBLEM BT THANKS TO DIPIN A LOT..........
• 12 years agoHelpfull: Yes(8) No(4)
• y divided by 4...plz expln
• 12 years agoHelpfull: Yes(8) No(3)
• Area covered is 1/4 th of a circle
  Its radius is 7
  
  hence area of circle=pi*r*r
  
  Area covered by goat=(pi*r*r)/4
  So area=((22/7)*7*7)/4)=38.5 sq.m
• 9 years agoHelpfull: Yes(4) No(1)
• actually area of square is a^2 but why we are using area of circle?
• 10 years agoHelpfull: Yes(3) No(2)
• ((22/7)*49)/4=38.5
• 9 years agoHelpfull: Yes(2) No(2)
• formula :a/360*(pi*r*r) where a is angle made by rope when tied to a corner of square
  90/360*22/7*7*7=38.5m^2
• 9 years agoHelpfull: Yes(2) No(2)
• 38.5, (90/360)(22/7)*7*7
• 8 years agoHelpfull: Yes(0) No(0)
• 38.5 sq m
  Area covered=(pi*r^2)/4
  r=7
• 8 years agoHelpfull: Yes(0) No(0)
• sise of square=12
  rope size=7
  area graze by goat=3.14*7*7/4=38.5
• 8 years agoHelpfull: Yes(0) No(0)
• so basically we have to find the area of the circle whose diameter is the length of the rope = 7m
  Therefore radius = 7/2 = 3.5m
  therefore area of the circle = Pi * (radius)^2 = Pi * (radius) * (radius) = 3.14 * 3.5 *3.5 = 38.5 sq.m
• 8 years agoHelpfull: Yes(0) No(0)
• since length of rope=7m
  so it can graze only area covered by radius 7m./4
  since,within this square only 1/4th area is present
  so....area=22/7*7*7/4
  =38.5 m2
• 8 years agoHelpfull: Yes(0) No(0)
• a.38.5sq.m
  (pi*r^2)/4
  38.5
  
• 8 years agoHelpfull: Yes(0) No(0)
• area=pi*r*r/4
  =3.142*7*7/4
  =38.5 sqm
• 8 years agoHelpfull: Yes(0) No(0)
• Why can't it grace outside the plot as in rectangular barn problems..............?
• 8 years agoHelpfull: Yes(0) No(0)