In a circle with a radius of 6 cm, find the length of the arc corresponding to the central angle equal to 135.

A circle is a closed plane curve, which consists of points on a plane that are equidistant from the center.

The center corner is the corner formed by two radii.

An arc is the portion of a circle between two radii.

The arc length is proportional to the corresponding central angle.

To calculate the length of the arc, we will use the formula:

L = π r α / 180 °, where

L is the length of the arc;

r is the radius of the circle;

α is the degree measure of the central angle;

π – 3.14.

L = 3.14 ∙ 6 ∙ 135 ° / 180 ° = 14.13 cm.

Answer: The length of the arc is 14.13 cm.