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
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=25−9=16
s=4cm
sinα=45
α=<AOB2
Length of chord = 2rsin(θ2)
|OB| = r = 5cm
L = 2(5)(45)
= 8 cm
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