The circumference of the circle is 18pi. We need to determine what fraction of the circumference is arc PQ. The proportionality of circles tells us that:
(degree measurement of arc)/360 = (length of arc)/circumference
The attached drawing shows that the degree measurement of arc PQ is 40 degrees.
40/360 = 1/9
1/9 = (PQ)/18pi
PQ = 2pi.
The correct answer is A.
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Attachments
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- arc question.pdf
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