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Radian measure of the central angle is 4 radian
<em><u>Solution:</u></em>
Given that,
A circle of radius 1.5 meter that intercepts an arc of length 600 centimeters
To find: Radian measure of the central angle
Let us find the circumference of circle
The circumference of circle is given as:
Where "r" is the radius of circle
Therefore circumference of circle = meters , which subtends central angle of
radian
Given that arc of length 600 centimeters. Let us convert 600 centimeter to meter
We know that, to convert centimeter to meter divide the length value by 100
<u><em>Therefore arc of 6 meter will subtend a central angle of:</em></u>
Therefore radian measure of the central angle is 4 radian