# trig

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the pendulum of a grandfather clock is 1.3m long. Determine the length of the arc through which the pendulum moves if it moves through an angle of 15

• trig -

circumference of the potential whole circle = 2π(1.3)
= 2.6π

so , by a simple ratio

arc/2.6π = 15/360
arc = 2.6π(15/360) = (13/120)π or appr .34 m
or 34 cm

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