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Length of an arc

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Director
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Length of an arc [#permalink] New post 21 Sep 2007, 06:29
Can anyone help me solve the attached problem?
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Senior Manager
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Joined: 27 Aug 2007
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 [#permalink] New post 21 Sep 2007, 08:13
I got A , is it? if yes than I will explain it.
Director
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 [#permalink] New post 21 Sep 2007, 08:36
Answer A

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
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Re: Length of an arc [#permalink] New post 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
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 [#permalink] New post 21 Sep 2007, 09:42
OA is A, thanks guys!
  [#permalink] 21 Sep 2007, 09:42
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