Answer:
[tex]\Delta s = 1[/tex]
Step-by-step explanation:
The length of the arc is directly proportional to the angle of the arc, whose measure is determined by simple rule of three:
[tex]\Delta s = \left(\frac{60^{\circ}}{360^{\circ}} \right)\cdot (6)[/tex]
[tex]\Delta s = 1[/tex]
complete question:
A circle with circumference of 6, has an arc with a ∘ 60, degree central angle.
Answer:
length of an arc = 1
Step-by-step explanation:
The length of an arc is defined with the following formula.
length of an arc = ∅/360 × 2πr
circumference of a circle = 2πr
circumference = 6
length of an arc = ∅/360 × 2πr
length of an arc = ∅/360 × 6
where
∅ = 60°
length of an arc = 60/360 × 6
length of an arc = 360/360
length of an arc = 1
