Math, asked by tejupandit958, 10 hours ago

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​

Answers

Answered by srikantamohapatra6c3
1

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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