Question

calculator
what is the arc length of an arc with a central angle of \\(\frac{2}{3}\pi\\) radians in a circle with a radius of 18 cm?
enter your answer to the nearest whole centimeter in the box.
\\(\square\\) cm

Explanation:

Step1: Recall arc length formula

Arc length $s = r\theta$ (θ in radians)

Step2: Substitute values

$r=18$ cm, $\theta=\frac{2}{3}\pi$ → $s=18\times\frac{2}{3}\pi=12\pi$

Step3: Calculate numerical value

$12\pi\approx12\times3.1416\approx37.7$

Step4: Round to nearest whole number

37.7 ≈ 38

Answer:

38