In the diagram of circle raidus oc is scop. Chord AB is 8 cm and perpendicular to oc at point P-What is the length of op
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Answer:
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Step-by-step explanation:
OC bisects the chord AB
⇒AC=CB
Now,
AC+CB=AB
⇒AC+CB=8
⇒AC=
2
8
⇒4cm
△OCA is a right angled triangle
∴AO
2
=AC
2
+OC
2
⇒5
2
=4
2
+OC
2
⇒5
2
−4
2
=OC
2
⇒OC
2
=9
⇒OC=3
Since, OD is the radius of the circle
∴OA=OD=5cm
CD=OD−OC
⇒5−3=2cm
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