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The perimeter of a sector of a circle of radius... - WAEC Mathematics 2011 Question

The perimeter of a sector of a circle of radius 4cm is ((\pi + 8))cm. Calculate the anle of the sector

A
45o
B
60o
C
75o
D
90o
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Correct Option: A

Perimeter of sector = 2r + (\frac{\theta}{360^o} \times 2\pi r)

(\pi + 8 = 2 \times 4 + \frac{\theta}{3360^o} \times 2 \pi \times 4)

(\pi + 8 + \frac{\theta}{360^o} \times 8 \pi)

P + 8 - 8 = (\frac{\theta \pi}{456o})

(\pi = \frac{\theta \pi}{45^o})

(\theta \pi = 45^o)

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