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# Length of an arc

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Director
Joined: 15 Jun 2007
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Length of an arc [#permalink]  21 Sep 2007, 06:29
Can anyone help me solve the attached problem?
Attachments

Arc Problem.doc [74.5 KiB]

Senior Manager
Joined: 27 Aug 2007
Posts: 253
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Kudos [?]: 10 [0], given: 0

I got A , is it? if yes than I will explain it.
Director
Joined: 09 Aug 2006
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Since PQ||OR, angle QPR = angle PRO = 35

Since inscribed angle of arc OP is PRO, the measure of arc OP is 2(35) = 70

By same logic measure of arc QR is also 70

Therefore central angle for arc PQ = 180 - (70+70) = 40 degrees

Measure of arc PR = (40/360) * 2 * pi * 9 = 2 pi

Key formula --> measure of arc with inscribed angle x is 2x.
Director
Joined: 08 Jun 2007
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Re: Length of an arc [#permalink]  21 Sep 2007, 09:16
shmegs wrote:
Can anyone help me solve the attached problem?

2*pi .
Assume center is C . CRP = CRP = 35 . Since its CPR = CRP = 35
Hence CPQ = 70 . Hence PCQ = 40 .

Lenght 40/360 * 2 * pi * 18/2 = 2*pi A
Director
Joined: 15 Jun 2007
Posts: 505
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OA is A, thanks guys!
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