Points AB and C divide the circle into 3 equal arcs. What is the length of each of these arcs if the radius of the circle is 12 cm?
The length of the arc of a circle L = 2 * π * R.
If the radius of the circle is 12 cm, we find the length of the arc:
L = 2 * π * 12 = 24 * π cm.
If three points divide the circle into 3 equal arcs, we find the length of each of them:
L / 3 = (24 * π) / 3 = 8 * π cm = 0.08 * π m.
Answer: points A, B and C divide the circle into 3 equal arcs each 0.08 * π meters long.
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