A circle has a radius of five an arc in the circle has a central angle of 162 what is the length of the arc enter an exact answer in terms of pie or use with 3.14 for pie and enter your answer as a decimal

Respuesta :

Answer:

Length of arc = 14.13

Step-by-step explanation:

Given:

Radius of circle, r = 5

An arc in the circle has a central angle of 162°

To find the length of the arc, L, let's use the formula:

[tex] L = 2\pi r \frac{\theta}{360}[/tex]

Where [tex] \theta[/tex] = 162°

Therefore, substituting figures, we have:

[tex]L = 2*3.14*5 (\frac{162}{360})[/tex]

L = 31.4 * 0.45

L = 14.13

Length of arc is 14.13 units

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