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. anonymous

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2. anonymous

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3. anonymous

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

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: $$s = \theta \cdot \dfrac{\pi}{180^\circ} \cdot r$$