A student claims that the radian measure of a central angle of a circle can only be calculated by multiplying the length of the subtended arc by the length of the radius. Identify the information that can be used to refute the student's claim. Select TWO choices.

The answer is below

Explanation:

The question is not complete because the choices are not given, but I would show you how to answer the question.

The length of an arc with a subtended central angle θ and a radius r is given by:

Length of arc = θ/360 × 2πr

But this is equation is used when θ is in degrees. If θ is in radians, then the length of the arc is given by:

Length of arc = θ/2π × 2πr = θ × r

Length of arc = θ × r

To get the measure of the central angle θ in radian, we divide both sides by the radius r:

(Length of arc) / r = (θ × r) / r

θ = (Length of arc) / r

The central angle is calculated by dividing the length of the arc by the radius