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# If the diameter of a bicycle wheel is 0.5 meter, how many meters has

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If the diameter of a bicycle wheel is 0.5 meter, how many meters has  [#permalink]

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16 Nov 2017, 01:42
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35% (medium)

Question Stats:

81% (01:17) correct 19% (00:48) wrong based on 47 sessions

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If the diameter of a bicycle wheel is 0.5 meter, how many meters has the center of the wheel traveled when the wheel has made 3 complete revolutions along a straight road?

(A) 3π/2
(B) 3π
(C) 12π
(D) 25π/2
(E) 25π

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Re: If the diameter of a bicycle wheel is 0.5 meter, how many meters has  [#permalink]

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16 Nov 2017, 09:50
Bunuel wrote:
If the diameter of a bicycle wheel is 0.5 meter, how many meters has the center of the wheel traveled when the wheel has made 3 complete revolutions along a straight road?

(A) 3π/2
(B) 3π
(C) 12π
(D) 25π/2
(E) 25π

Circumference = $$0.50π$$

Distance covered in 3 complete revolutions is $$1.50π$$

Hence, answer will be (A) $$\frac{3π}{2}$$
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If the diameter of a bicycle wheel is 0.5 meter, how many meters has  [#permalink]

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16 Nov 2017, 16:45
Bunuel wrote:
If the diameter of a bicycle wheel is 0.5 meter, how many meters has the center of the wheel traveled when the wheel has made 3 complete revolutions along a straight road?

(A) 3π/2
(B) 3π
(C) 12π
(D) 25π/2
(E) 25π

Distance = (circumference of wheel) * (number of revolutions)

Circumference of the wheel =$$πd=\frac{1}{2}π$$

Wheel makes three complete revolutions (one revolution = length of one circumference)

Distance = $$(\frac{1}{2}π) * (3) =\frac{3}{2}π$$

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Re: If the diameter of a bicycle wheel is 0.5 meter, how many meters has  [#permalink]

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17 Nov 2017, 14:39
Bunuel wrote:
If the diameter of a bicycle wheel is 0.5 meter, how many meters has the center of the wheel traveled when the wheel has made 3 complete revolutions along a straight road?

(A) 3π/2
(B) 3π
(C) 12π
(D) 25π/2
(E) 25π

Since the diameter is 0.5 meters, the circumference is 0.5π meters, and thus the wheel has traveled 0.5π x 3 = 1.5π = 3π/2 meters after 3 revolutions.

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Re: If the diameter of a bicycle wheel is 0.5 meter, how many meters has &nbs [#permalink] 17 Nov 2017, 14:39
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