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# Length of an arc

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Director
Joined: 15 Jun 2007
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21 Sep 2007, 07:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Can anyone help me solve the attached problem?
Attachments

Arc Problem.doc [74.5 KiB]

Senior Manager
Joined: 27 Aug 2007
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21 Sep 2007, 09:13
I got A , is it? if yes than I will explain it.
Director
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21 Sep 2007, 09:36

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]

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21 Sep 2007, 10:16
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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21 Sep 2007, 10:42
OA is A, thanks guys!
21 Sep 2007, 10:42
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