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Circle Geometry

Expert replies
Source: — Problem Solving |

by diebeatsthegmat » Wed Dec 15, 2010 9:26 am
jimmy.student wrote:Image

In the circle above, PQ is parallel to diameter OR, and OR has lenght 18. What is the lenght of minor arc PQ?

2Ï€

9Ï€/2

7Ï€/2

9Ï€/2

3Ï€

OA A
hmhm
this question was discussed so many times before.
suppose I is the center of the circle
triangle PIR has IRP^=RPI6=35 so PIR^=110
PI)^=70
triang OPI=triange RQI because PQ// OR > OP=PQ, IO=Ir and PI=QI
so PIO^=70 => PIQ=40
40/360*18p=2p
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