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20 February, 05:02

A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a central angle in radians and the diameter of the circle. Which option supports the student's claim?

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  1. 20 February, 07:31
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    Having the angle in radians and the diameter of the circle we can easily calculate the length using the followingexpression

    Length = angle (radians) * diameter/2

    With this expression we can easily deduce the perimeter of a circle (length of the full arc)

    Length = Perimeter = 2*pi*r

    There is only one operation involved in this process
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