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?	Choose the correct choice from the following.
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   ANSWER:(480/9)*pi
<result>B</result>
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?