Respuesta :

Answer:

Length of arc AB= 2πr (angle) /360

= 2π×6× 30°/360

= π.

ANSWER

The length of arc AB is π units.

EXPLANATION

The length of an arc of a circle is calculated using the formula:

[tex]l = \frac{ \theta}{360} \times 2\pi \: r[/tex]

Where [tex] \theta = 30 \degree[/tex]

is the angle of sector and r=6 units is the radius of the circle.

We substitute these values into the formula to find the length of arc AB.

[tex]l = \frac{30}{360} \times 2 \times \pi \: \times 6[/tex]

[tex]l = \pi[/tex]

The length of the arc is π units.

So put 1 as the coefficient.