Question

in the adjoining figure l (PA) =5.8 cm , then l (DC) = ?​

Answer 1

Answer:

OC is perpendicular on chord AB

∴OC bisects the chord AB

⇒AC=CB

Now,

AC+CB=AB

⇒AC+CB=8

⇒AC= 28

⇒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

Step-by-step explanation:

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