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

July 28, 2021 | education

| 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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