contestada

Find the arc-length of the sector of a circle with the given radius r and central angle 0. Give the answer in the given unit of measure, rounded to the nearest hundredth.r = 25 m; θ = 12π/7

Respuesta :

Given a radius and a central angle in radian, the formula in solving arc length is:

[tex]AB=\theta\times r[/tex]

Since the angle and radius are given already in the problem, let's plug it in to the formula above.

[tex]AB=\frac{12\pi}{7}(25m)[/tex]

Then, solve.

[tex]AB=\frac{300\pi m}{7}=\frac{942.47779m}{7}\approx134.64m[/tex]

Therefore, the length of an arc having a central angle of 12π/7 is approximately 134.64 meters.

Otras preguntas