Respuesta :
Answer:
0.3 units
Step-by-step explanation:
The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.
[tex]\frac{l}{6}=\frac{20}{360}[/tex]
This implies that:
[tex]l=\frac{20}{360}*6[/tex]
This simplifies to: [tex]l=\frac{20}{60}[/tex]
[tex]l=\frac{1}{3}=0.3 units[/tex]
Since the circumference of this circle is 6 units, the length of the arc formed is equal to 0.33 units
Given the following data:
Circumference = 6 units.
Central angle = 20°
How to calculate the length of the arc.
Mathematically, if you want to determine the length of the arc formed by a circle, you will divide the angle subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle as follows:
20/360 × 6 = 0.33 units.
Read more on circumference here: brainly.com/question/14478195