How to find the degree measure of an arc of a circle, knowing that the length of the arc of a circle is 5п, and the radius is 4 cm?

Let’s use the formula to calculate the arc of a circle.

From the formula for calculating the arc of a circle, we express the angle corresponding to this arc. The value of the central angle is equal to the degree measure of the circular arc.

Let’s write the formula:
С = πr * α / 180 ⇒ α = 180 * C / πr = 180 * 5 * π / π * 4 = 225 cm.
Answer: 225 cm.