If the radius of a circle is 3 cm, then the measure of an angle that cuts an arc of length 6 cm is 2.
The radius of a circle is any line from its center to the perimeter or circumference of the circle.
By the formulas of radian measure
Given the radius of a circle is 3 cm
The arc is 6 cm
[tex]Radian Measure = \dfrac{arc\; length }{radius} \\\\Radian Measure = \dfrac{6 \;cm}{3; cm} \\\\Radian Measure = 2 \;rad[/tex]
Thus, the measure of an angle that cuts an arc of length 6 cm is 2.
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