lillyjh
Answered

In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 2π/3 radians.


What is the arc length?

Use 3.14 for π .

Enter your answer as a decimal.

Answer :

Songshen
in fact, the arc you want is [tex] \frac{1}{3} [/tex]of the whole circle
so arc length is just [tex] \frac{1}{3} [/tex] the perimeter
perimeter is: 2×6×π=12π≈37.68
so what you want is 37.68÷3=12.56

The length of the arc formed in a circle depends on the radius and central angle formed inside the circle.

The length of the arc is 12.56 ft.

What is the arc length of a circle?

Arc length is defined as the distance along the part of the circumference of any circle. A part of a curve or a part of a circumference of a circle is called Arc.

Given that the radius r of the circle is 5.4 m and the central angle is 60 degrees.

The length of the arc is calculated as given below.

[tex]s = r\theta[/tex]

Where s is the length of the arc, and [tex]\theta[/tex] is the central angle.

[tex]s = 6 \times \dfrac {2\pi}{3}[/tex]

[tex]s = 6 \times \dfrac {2\times 3.14}{3}[/tex]

[tex]s = 12.56 \;\rm ft[/tex]

Hence we can conclude that the length of the arc is 12.56 ft.

To know more about the arc length, follow the link given below.

https://brainly.com/question/1577784.

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