Question

suppose the radius r is 3 units and the angle θ is \\(\frac{\pi}{6}\\) radians. what is the arc length s? please round to two places after the decimal point. s = arc length

Explanation:

Step1: Recall arc length formula

The formula for arc length \( s \) when the angle \( \theta \) is in radians is \( s = r\theta \).

Step2: Substitute values

Given \( r = 3 \) and \( \theta=\frac{\pi}{6} \), substitute into the formula: \( s = 3\times\frac{\pi}{6} \).

Step3: Simplify and calculate

Simplify \( 3\times\frac{\pi}{6}=\frac{\pi}{2}\approx 1.57 \) (rounded to two decimal places).

Answer:

1.57