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# If P, a vertex of an equilateral triangle of side 6, is the center of

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Math Expert
Joined: 02 Sep 2009
Posts: 61403
If P, a vertex of an equilateral triangle of side 6, is the center of  [#permalink]

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16 Oct 2019, 22:26
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Difficulty:

25% (medium)

Question Stats:

90% (01:03) correct 10% (01:15) wrong based on 21 sessions

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If P, a vertex of an equilateral triangle of side 6, is the center of a circle, as shown above, what is the length of arc ACB?

A. π
B. 3+π
C. 2π
D. 6+2π
E. 6π

Attachment:

T6125.png [ 6.66 KiB | Viewed 284 times ]

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Re: If P, a vertex of an equilateral triangle of side 6, is the center of  [#permalink]

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16 Oct 2019, 22:36
Since $$APB$$ is an equilateral triangle, $$\angle APB = 60^{\circ}$$

Length of Arc $$ACB = \frac{60}{360}*2 \pi *6 = 2\pi$$

Re: If P, a vertex of an equilateral triangle of side 6, is the center of   [#permalink] 16 Oct 2019, 22:36
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