Question

The circumference of a circle is 198cm.calculate the length of the arc which subtends an angle of 2π÷3 radians at the center

Answer 1

The formula for the length of an arc is given by:

Length of arc = (θ/2π) * circumference

where θ is the angle in radians.

Given that the angle is 2π÷3 radians, we can substitute this into the formula:

Length of arc = (2π/3 / 2π) * 198
Length of arc = (1/3) * 198
Length of arc = 66 cm

Therefore, the length of the arc which subtends an angle of 2π÷3 radians at the center of the circle is 66 cm.