1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
What is the formula for arc length?
Arc length = Central Angle(in radian) * Radius
So, length of arc AC = (45π/180) * 8
Arc AC = 2π
Arc AC = 6.28cm
So, length of arc BAC = arc AC+ arc AB
Arc BAC = 6.28 +8.4
Arc BAC = 14.68cm
∠BOA = length of Arc AB / Radius
∠BOA = 8.4/8 = 1.05 radian
∠BOA= 1.05 *(180/π)°
∠BOA=60.16°
Therefore, 1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
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