Generation Football Tournament

Geometry Level 2

At the "Projonmo Students' Hostel" a football tournament is ongoing. In such a match in the tournament, the coach called all of the players of the team in a final meeting. He instructed them to form a circle around him.

Now assume that 14 players are forming this circle and each player's width (distance between two arms) is 40 cm,

The players are a bit fuzzy. If the distance between the coach and the player is more than 80 cm, they don't listen to him at all!

So, after forming a circle, will the fuzzy players listen to the coach?

No Yes

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1 solution

If you draw up a diagram, you will easily discover that the circumference of the circle, p = ( 14 × 40 ) c m = 560 c m p=(14\times 40)cm=560cm And its pretty obvious that distance between the coach and a player is equal to the Radius, r of the circle.

So simply, 2 π r = p 2\pi r=p r = p 2 π r=\frac{p}{2\pi} = 560 2 π c m =\frac{560}{2\pi}cm = 89.12 c m =89.12cm

So the naughty players won't listen to their coach's strategies!

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