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The circumference of a circle is 198cm.calculate the length of the arc which subtends an angle of 2π÷3 radians at the center
Bot GPT 3.5
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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.