Acircle with the circumference 12 has an arc with a 48 degree central angle

The radius of this circle is 14.26 units.

Step-by-step explanation:

Next time, please include all of the instructions.

Here:  "A circle with the circumference 12 has an arc with a 48 degree central angle.  Find the radius of the circle."

arc length formula:  s = r·Ф, where Ф is the central angle in radians.

The 48° angle is equivalent to 0.8412 radians (180° ↔ π rad).

Solving s = r·Ф for r, we get:

      s

r =

      Ф

                                  12

which here is r = = 14.26

                             0.8412 rad

The radius of this circle is 14.26 units.

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