find the arc length of the partial circle. either enter an exact answer in terms of π or use 3.14 for π and…
find the arc length of the partial circle. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answer
Answer:
$\frac{7\pi}{2}$ (o $10.99$ si usas $\pi = 3.14$)
Explanation:
Step1: Identificar el ángulo central
El ángulo central es de $90^{\circ}$ o $\frac{\pi}{2}$ radianes.
Step2: Usar la fórmula de longitud de arco
La fórmula es $s = r\theta$, donde $r = 7$ y $\theta=\frac{\pi}{2}$. Entonces $s = 7\times\frac{\pi}{2}=\frac{7\pi}{2}$. Si usas $\pi = 3.14$, entonces $s=7\times3.14\times\frac{1}{2}=10.99$.