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An arc of a circle of length 22 cm subtends an ... - JAMB Mathematics 2004 Question

An arc of a circle of length 22 cm subtends an angle of 3xo at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

A
60o
B
120o
C
180o
D
30o
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Correct Option: A

( ARC\hspace{1mm}length = (\frac{\theta}{360})\times 2\pi r\22=\frac{3x}{360}\times \left(2 \times(\frac{22}{7})\times(\frac{7}{1})\right)\3x = 180\x = \frac{180}{3}\x = 60^{\circ})

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