Question

4.In the given figure, if OA= 5cm, AB=Bcm and OD is perpendicular to AB, then find the
length of CD
​

Answer 1

Answer:

Answer will be 2 cm

Step-by-step explanation:

(a) We know that, the perpendicular from the centre of a circle to a chord bisects the chord.

AC = CB = 1/2 AB = 1/2 x 8 = 4 cm

given OA = 5 cm

AO² = AC² + OC²

(5)² = (4)² + OC²

25 = 16 + OC²

OC² = 25-16 = 9

OC = 3 cm

[taking positive square root, because length is always positive]

OA = OD [same radius of a circle]

OD = 5 cm

CD = OD – OC = 5 – 3 = 2 cm

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