Consider the above picture. In that point "X" marked in green is the starting and ending point.A man "A" travels along the path drawn in black and A man "B" travels along the path drawn in red. point "O" represents the center of the circular path along which "A" travels. Note that "B" also pass through the point "O".
Assume both the person start at same time from "X" , guess who will reach the point "X" first after traveling through their respective path?
Also try to prove your results in the comments.
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tell the answer dear i think its a
ReplyDeleteis it correct
Mr A
ReplyDeleteAnswer: Mr.B will reach first.
ReplyDeleteproof:
length of path travelled by "A" = 2*pi*r
, r = radius
= 2 * 3.14 * r
= 6.28 * r
path travelled by "B"
= 2(chord)+2r < 2d + 2r
, since chord < diameter(d)
< 2 (2r) + 2r
< 4r + 2r
< 6r
< 6.28r (path travelled by "A")
thus,
path travelled by "B" < path travelled by "A"