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# If a coin was rolled on the ground and made 30 complete rotations with

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Math Expert
Joined: 02 Sep 2009
Posts: 50704
If a coin was rolled on the ground and made 30 complete rotations with  [#permalink]

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06 Sep 2018, 00:25
00:00

Difficulty:

25% (medium)

Question Stats:

85% (00:20) correct 15% (00:43) wrong based on 20 sessions

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If a coin was rolled on the ground and made 30 complete rotations without slipping, how far did the coin roll?

(1) The coin has an area, in centimeters squared, of $$0.04\pi$$
(2) The diameter of the coin is 0.4 centimeters.

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Re: If a coin was rolled on the ground and made 30 complete rotations with  [#permalink]

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06 Sep 2018, 01:49
Area = Pi$$r^2$$ = 0.04Pi = r = 0.2.

Circumference = 2Pir = 0.4Pi.
For 30 rotations, The distance covered is 30*0.4Pi = 15Pi.

1 is sufficient.

From 2:

D = 0.4
r = 0.2
Circumference = 2Pir = 0.4Pi.
For 30 rotations, The distance covered is 30*0.4Pi = 15Pi.

2 is also sufficient.

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Re: If a coin was rolled on the ground and made 30 complete rotations with &nbs [#permalink] 06 Sep 2018, 01:49
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