arc AB is 55 degrees. the radius of the circle is 4 inches. what is the length of arc AB?
To find the length of an arc, you can use the formula:
Length of arc = (Angle / 360 degrees) * 2 * π * Radius
In this case, the angle is given as 55 degrees and the radius is 4 inches.
Substituting the values into the formula:
Length of arc = (55 / 360) * 2 * π * 4
Simplifying further:
Length of arc = (11 / 72) * 2 * π * 4
Length of arc ≈ 5.76 inches
So, the length of arc AB is approximately 5.76 inches.