Circle of radius 10cm and chord ab is 16 cm find lenght of tangent
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begin mathsize 16px style OA equals 10 space cm
ON perpendicular AB
AN equals NB equals 16 over 2 equals 8 space cm
Pythagoras space theorem
In space increment ONA comma
ON squared plus NA squared equals OA squared
ON squared equals OA squared minus NA squared
ON squared equals 10 squared minus 8 squared
ON squared equals 36 space cm
ON equals space 6 space cm
tan space angle AON equals AN over ON equals 8 over 6 equals 4 over 3
increment OAP
tan angle AON equals PA over OA
4 over 3 equals PA over 10
rightwards double arrow PA equals 40 over 3 space cm
end style
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