what is the length of Arc AB if the radius of a circle is 6 cm

Answer:
Option (D)
Step-by-step explanation:
Length of arc AB in a circle O = 105°
Radius (AO) of the circle = 6 cm
Since, measure of an arc = central angle formed by the arc
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Where θ = central angle = 105°
r = radius of the circle = 6 cm
By substituting these values in the formula,
m(arc AB) = [tex]\frac{105}{360}(2\pi \times 6)[/tex]
= 10.9956
≈ 11.0 cm
Therefore, option (D) will be the answer.