Question

the given figure if OA=5cm, AB=8cm, and OD perpendicular to chord AB then to find the value of CD.​

Answer 1

Answer:

2cm

Step-by-step explanation:

OC is perpendicular on chord AB

OC is perpendicular on chord AB∴OC bisects the chord AB

⇒AC=CB

- AC+CB=AB

⇒AC+CB=8

⇒AC= 8/2

⇒4cm

△OCA is a right angled triangle

△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