Respuesta :

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=16\\ s=19.36 \end{cases}\implies 19.36=\cfrac{\pi \theta 16}{180}\implies \cfrac{19.36\cdot 180}{16\pi }=\theta[/tex]
alphabetsam
I believe you're going to be working in degrees, there is a different scaling factor for radians (θ/2pi). The arc length formula is just the formula for the circumference of a circle scaled by how many degrees of the circle you have. In this case, radius is 16, arc length is 19.36. Then we have:
[tex]19.36=2 \pi (16)\frac{\theta}{360}[/tex]

Solve for θ.

Otras preguntas