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The figure to the right shows the path of a car moving around a circul

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New post 14 Apr 2019, 04:12
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The figure to the right shows the path of a car moving around a circular racetrack. How many miles does the car travel in going from point A to point B ?

(A) \(\frac{\pi}{6}\)

(B) \(\frac{\pi}{3}\)

(C) \(\pi\)

(D) 30

(E) 60

Attachment:
2019-04-14_1510.png
2019-04-14_1510.png [ 18.26 KiB | Viewed 172 times ]

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The figure to the right shows the path of a car moving around a circul  [#permalink]

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New post 14 Apr 2019, 04:19
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If we can find the length of the sector, we will know how many miles the car travels.

Formula used: Length = \(\frac{Ang}{360} * 2 * \pi * r\) where \(r\) is the radius and \(Ang\) - angle of sector.

Substituting values, we get the length = \(\frac{60}{360} * 2 * \pi * \frac{1}{2} = \frac{\pi}{6}\)

Therefore, the car goes \(\frac{\pi}{6}\)(Option A) miles from Point A to Point B
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Re: The figure to the right shows the path of a car moving around a circul  [#permalink]

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New post 14 Apr 2019, 05:08
Bunuel wrote:
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The figure to the right shows the path of a car moving around a circular racetrack. How many miles does the car travel in going from point A to point B ?

(A) \(\frac{\pi}{6}\)

(B) \(\frac{\pi}{3}\)

(C) \(\pi\)

(D) 30

(E) 60

Attachment:
2019-04-14_1510.png


solve using sector of angle formula
60/360 * 2* pi * 1/2
we get IMO A \(\frac{\pi}{6}\)
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Re: The figure to the right shows the path of a car moving around a circul   [#permalink] 14 Apr 2019, 05:08
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