Equilateral triangle ABC is inscribed in the circle. If the : PS Archive
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# Equilateral triangle ABC is inscribed in the circle. If the

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Equilateral triangle ABC is inscribed in the circle. If the [#permalink]

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12 Nov 2006, 04:10
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Equilateral triangle ABC is inscribed in the circle. If the length of arc ABC is 24, what is the approximate diameter of the circle? (see Figure 1 attached)

A)5
B)8
C)11
D)15
E)19
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Figure1.doc [25.5 KiB]

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12 Nov 2006, 04:20
Since it is an equilateral triangle, each angle is 60

Arc BC is 1/3 of the circumference C, and arc AB is 1/3 of C as well

so arc ABC is 2C/3 = 2/3 (pi*d) = 24

therefore d = 11

C
12 Nov 2006, 04:20
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