Final answer:
To find the length of arc x, we can use the formula for arc length, which is given by the equation length = θ/360° * circumference, where θ is the central angle in degrees and circumference is the circumference of the circle.
Step-by-step explanation:
In this case, the central angle of the arc x is given as 260°. We know that for one complete revolution, the arc length is equal to the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the circumference of the circle is stated as 10π ft, we can set up the equation 10π = 2πr and solve for r.
To find the length of arc x, we can use the formula for arc length, which is given by the equation length = θ/360° * circumference, where θ is the central angle in degrees and circumference is the circumference of the circle. Substituting the values, we have length = 260°/360° * 10π ft. Simplifying this expression gives us the length of arc x.