What is the arc length if θ = 2 pi over 7 and the radius is 3 cm?
arc length = θ/2pi 2pi r = θ r = 2pi/7 3 = 6pi/7 = 2.69 cm
Answer:
Length of the arc will be 2.69 cm.
Step-by-step explanation:
We have to calculate the length of an arc if θ = \(\frac{2\pi }{7}\) and radius of arc is 3 cm.
As we know length of an arc = r × θ
By putting the values of angle θ and radius of arc r in the formula
m (arc) = \(\frac{2\pi }{7}\) × 3
= \(\frac{6\pi }{7}\)
= \(\frac{6(3.14)}{7}\)
= 2.69 cm
Therefore, length of the arc will be 2.69 cm.