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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11-04-2018
Mathematics

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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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calculista calculista · Answer 1 · 2018-04-20T19:00:26+02:00

calculista calculista

20-04-2018

Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

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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