the circumference of a circle can be calculated using the following equation;
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.