Answer:
The length of the minor arc WX is 5π yards.
Step-by-step explanation:
To find the length of the minor arc WX, we first need to determine the circumference of the entire circle and then use the central angle to find the proportion of the circumference that represents the length of the minor arc.
The formula for the circumference of a circle is:
Circumference = 2 * π * radius
Given that the radius is 6 yards, we can calculate the circumference:
Circumference = 2 * π * 6
= 12π yards
Now, we need to find the proportion of the circumference that corresponds to the central angle m < WVX.
The total angle around a circle is 360°. Since the central angle < WVX is 150°, the proportion of the circle's circumference that corresponds to this angle is:
Proportion = (m < WVX / Total angle) * Circumference
= (150° / 360°) * (12π yards)
= (5/12) * (12π yards)
= 5π yards
So, the length of the minor arc WX is 5π yards.
