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# A circle with a circumference of 12π is divided into three s

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A circle with a circumference of 12π is divided into three s [#permalink]  06 Oct 2020, 10:11
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A circle with a circumference of $$12π$$ is divided into three sectors with areas having a ratio of 3: 4: 5. What is the area of the largest sector?

A. $$6π$$

B. $$9π$$

C. $$12π$$

D. $$15π$$

E. $$18π$$
[Reveal] Spoiler: OA

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Re: A circle with a circumference of 12π is divided into three s [#permalink]  06 Oct 2020, 20:43
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area of circle=36π (since circum. 12π radius is 6)

area of largest sector = (5/(3+4+5)) * 36π=15π

option D is correct
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Re: A circle with a circumference of 12π is divided into three s   [#permalink] 06 Oct 2020, 20:43
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