Answer:
length of an arc =1 /3 unit or 0.3unit
Step-by-step explanation:
to calculate the length of an arc, having it in mind that the arc is a portion of the circumference of a circle.
circumference of a circle = 6unit
Ф = 20°
recall,
the formulae for finding the length of an arc
= 2πr(Ф/360)
assuming that r is the radius of the circle
so, the circumference of a circle is given to be = 2πr
6 = 2πr
r = (6/2π)
length of an arc = 2πr(Ф/360)
remember that r = (6/2π)
length of an arc = 2π(6/2π) [20°/360°]
length of an arc = 6 × 20°/360°
length of an arc = 120°/360°
length of an arc = 1/3unit
