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anonymous

  • one year ago

In circle A, the radius is 9 and the measure of angle CAT = 125°. Find the length of arc CT 5.3 19.6 10.6 21.2

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  1. Jhannybean
    • one year ago
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    |dw:1439912230198:dw|

  2. Jhannybean
    • one year ago
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    |dw:1439912378657:dw|

  3. Jhannybean
    • one year ago
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    Use the formula \(s = r\theta\). \[r=9~,~ \theta =125^\circ\] Now you did not specify if it should be in radians or degrees, therefore... \[s=\theta \cdot \frac{180^\circ}{\pi} \cdot r ~ ~~\text{to find arc in radians}\] \[s=\theta \cdot \frac{\pi}{180^\circ} \cdot r ~~~\text{to find arc in degrees}\]

  4. mathstudent55
    • one year ago
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    If the angle measure were given in radians, you could use the formula \(s = r \theta\) directly. Since the angle was given in degrees, you need to convert degrees to radians: \(s = \theta \cdot \dfrac{\pi}{180^\circ} \cdot r\)

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