Find the length of an arc of a circle if R = 4.2 l = 120 °.
| January 28, 2021 | education
A circle is a closed plane curve that consists of points on a plane that are equidistant from the center.
An arc is the portion of a circle between two radii.
Center angle – the angle with the apex at the center of the circle.
L = πrα / 180º, where:
r is the radius of the circle;
α is the central angle;
L is the arc length;
π – 3.14.
L = 3.14 ∙ 4.2 ∙ 120º / 180º = 1582.56 / 180º = 8.792 ≈ 8.8 cm.
Answer: The length of a circular arc is 8.8 cm.
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