The radius of the circle is 6 m, determine the arc length of this circle corresponding to the central angle of 135 degrees.

With the help of the conditional variable “Y” we denote the required length of the circular arc corresponding to an angle of 135 ℃.

The first step is to determine the length of the entire circle.

Using the formula for the circumference of a circle, we get 2 x 3.14 x 6 = 37.68 m.

Using the example data, we get the following proportion: 37.68 m refers to 360 ℃, as U m refers to 135 ℃.

Taking into account the proportional conditions, we get Y x 360 = 37.68 x 135.

When we count, we will have Y = 37.68 x 135/360 = 14.13 m.

Answer: 14.13 m.

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