a rabbit is tied to one end of an equilateral triangle of side 5 m with a rope length of 8 m.The rabbit is not allowed to travel inside the triangle then find the maximum area covered by the rabbit?
a)(96/9)*pi
b(480/9)*pi
c)(240/9)*pi
d)(100/9)*pi
e)cannot be determind

• The rabbit can graze upto 64*pi area if the triangle is not there.but the constraint here is,it should not enter the triangle so it must avoid grazing the sector of the circle which covers the triangular area also.each angle in the equilateral triangle is 60 degrees.so the area of the sector formed by 60 degrees and of radius 8m is (pi*8*8*60)/360
  
  therefore maximum total area covered by the rabbit is given by=area of circle-area of sector
  =(pi*8*8)-(pi*8*8*60)/360
  =(480/9)*pi
• 8 years agoHelpfull: Yes(24) No(0)
• angle in an equilateral triangle is =60
  hence the angle covered by the rabbit is =360-60=300
  the are of sector is=(angle/360)*pi*r*r
  the are covered by the rabbit is =(300/360)*pi*8*8=(480/9)*pi
  hence option (b)
• 8 years agoHelpfull: Yes(17) No(1)
• https://youtu.be/pdLMEO14IOc
  
  
  
  
  if u r not able to understand properly u can go yo the youtube link...there it has explained in detail
• 6 years agoHelpfull: Yes(7) No(0)
• (pi*8*8*300/360)+(pi*3*3*240/360) gives answer which is not in any option.
  so answer is (e)
• 8 years agoHelpfull: Yes(3) No(4)
• the area should be (pi*8*8)*300/360 = 160/3*pi
  but here the similar ans is not mentioned so we have to change our ans accodingly
  multiplying 3 in both numerator and denominator we get 480/9*pi and that is our ans.................thankx
• 6 years agoHelpfull: Yes(1) No(1)
• Find Area of the circle:
  
  Area = πr²
  
  Area = π(8)² = 64π m²
  
  
  Find area of the equilateral triangle:
  
  Area = √3/4 (sides)²
  
  Area = √3/4 (5)² m²
  
  
  Find the area that the rabbit can roam:
  
  Area the rabbit can roam = Area of the circle - Area of the triangle
  
  Area = 64π - √3/4 (5)²  = 190.32 m²
• 5 years agoHelpfull: Yes(1) No(0)
• Can anyone plz xpln clearly
• 8 years agoHelpfull: Yes(0) No(0)
• how the value of h is 2?can anyone tell clearly...bcz the value of alphabets is from range 0-9 !!!
• 8 years agoHelpfull: Yes(0) No(0)
• Solution of the question = Area of circle of radius 8 - Area of Equilateral triangle of side 5
• 6 years agoHelpfull: Yes(0) No(0)