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The circumference of a circle is given by $c = r$
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If the radius of a circle is doubled, the arc length for the same angle will become times longer.
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A circle with radius $5$ cm and central angle $60^\circ$ has an arc length of $s = \frac{5\pi \times }{180^\circ}$ cm.
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The formula for the length of an arc is $s = \frac{\pi r \theta}{}$
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If the central angle is $90^\circ$, the arc length formula becomes $s = \frac{\pi r \, }{180^\circ}$
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