Question

A central angle measuring 120° intercepts an arc in a circle whose radius is 3.

Answer 1

Answer:

6.28

Step-by-step explanation:

The length of arc which subtends an angle $\alpha$ at the center of a circle is given by $\alpha r$ where r is the radius of circle.

______________________________

given

the central angle of arc is  120°

$\pi = 180\\120 = (\pi /180)* 120\\120 = 2/3\pi$

we will use value of $\pi$ as 3.14

r = 3

Length of this arc is

$2/3( \pi *3) = 2\pi \\=2*3.14 = 6.28$

The length of the arc to the nearest hundredth of unit is 6.28