consider circle n with radius 30 cm and $\theta=\frac{pi}{6}$ radians. what is the approximate length of…

consider circle n with radius 30 cm and $\theta=\frac{pi}{6}$ radians. what is the approximate length of minor arc lm? round to the nearest tenth of a centimeter. 12.4 centimeters 15.7 centimeters 31.4 centimeters 36.7 centimeters

consider circle n with radius 30 cm and $\theta=\frac{pi}{6}$ radians. what is the approximate length of minor arc lm? round to the nearest tenth of a centimeter. 12.4 centimeters 15.7 centimeters 31.4 centimeters 36.7 centimeters

Answer

Explanation:

Step1: Recuerda la fórmula del arco circular

La fórmula para la longitud de un arco circular es $s = r\theta$, donde $s$ es la longitud del arco, $r$ es el radio del círculo y $\theta$ es el ángulo central en radianes.

Step2: Sustituye los valores dados

Dado que $r = 30$ cm y $\theta=\frac{\pi}{6}$ radianes, entonces $s=30\times\frac{\pi}{6}$.

Step3: Realiza el cálculo

$30\times\frac{\pi}{6}=5\pi$. Aproximando $\pi\approx 3.14$, tenemos $s = 5\times3.14=15.7$ cm.

Answer:

15.7 centímetros