Find the arc length equal to 0.2 of the circumference of a circle with a radius of 8.5 cm.

A circle is a closed curve consisting of many points equidistant from a given one, which is the center.
To calculate the circumference, we use the formula:
L = 2πr, where:
L is the circumference;
r is the radius of the circle;
π – number ≈ 3.14;
L = 2 · 3.14 · 8.5 = 53.38 cm.
A circular arc is a part of a circle bounded by two radii.
Since the length of the arc is 0.2 times the circumference, then:
UAB = 0.2 L;
UAB = 0.2 · 53.38 = 10.676 cm.
Answer: The length of an arc of a circle is 10.676 cm.



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