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

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
The figure to the right shows the path of a car moving around a circul  [#permalink]

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14 Apr 2019, 04:12
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:08) correct 13% (00:51) wrong based on 16 sessions

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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 [ 18.26 KiB | Viewed 373 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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14 Apr 2019, 04:19

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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14 Apr 2019, 05:08
Bunuel wrote:

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 $$\frac{\pi}{6}$$
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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