Question

4a) ACB is an arc of the circle with centre 0. If AO = OB = 5.6 cm
and <AOB= (3π/4)c , determine the length of the arc ACB.​

Answer 1

Answer:

Answer: 230^{\circ}230

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Step-by-step explanation:

Since, Here the angle abc is inscribed in arc of circle with Center O,

Also, m\angle ACB = 65^{\circ}m∠ACB=65

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⇒ By the Central angle theorem,

m\angle ABC = 2 \times m\angle ACB = 2 \times 65^{\circ} = 130^{\circ}m∠ABC=2×m∠ACB=2×65

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=130

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Thus, the length of major arc ACB = 360^{\circ} - 130^{\circ} = 230^{\circ}360

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−130

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=230

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Answer 2

Answer:

Step-by-step explanation:

Arc ACB= L(let)
θ=2π-3π/4=8π-3π/4=5π/4
OA=OB=r=5.6cm

now,
    l=r*θ
     =5.6*5/4*22/7
     =5.6*110/28
therefore,length of ACB=22cm