hello can you help me solve this trigonometry problem and in the problem it has answer must be exac. use pi or the sign pi and enter answer using a reduced fractions

hello can you help me solve this trigonometry problem and in the problem it has answer must be exac use pi or the sign pi and enter answer using a reduced fract class=

Respuesta :

Answer

Length of an arc = 17 km

Explanation

The length of an arc subtending angle, θ, at the center of a circle of radius, r is given as

[tex]\text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r[/tex]

For this question,

θ = 195°

r = 5 km

Length of an arc = (195°/360°) × 2 × π × 5 = 17.0169 = 17 km to the nearest whole number

Hope this Helps!!!