Acentral angle of a circle measures 1.2 radians, and the length of the related intercepted arc measures 6 cm. what is the diameter of the circle? a) 2.5 cm b) 3.5 cm c) 5 cm d) 10 cm

d = 2r = 2(5 cm) = 10 cm  (Answer D)

Step-by-step explanation:

The arc length formula is s = r·Ф, where r is the circle radius and Ф is the central angle in radians.  Here we need to find r, and from r we need to find d.

If s = r·Ф, then s / Ф = r.  In this particular case, r = (6 cm) / (1.2 rad) = 5 cm.

If r = 5 cm, then d = 2r = 2(5 cm) = 10 cm  (Answer D)

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