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In the diagram above, O is the center of the circle. Calc...

In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD

In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD

A.

3cm

B.

4cm

C.

5cm

D.

8cm

E.

15cm

Correct answer is D

In ΔDOB, let < DOB = α

In ΔDOB, 52=32+s2

s2=259=16

s=4cm

sinα=45

α=<AOB2

Length of chord = 2rsin(θ2)

|OB| = r = 5cm

L = 2(5)(45)

= 8 cm