Answer:
the arc length is, 4.71 yd
Step-by-step explanation:
Formula for arc length is given by:
\(l = r \theta\)
where,
r is the radius of the circle
\(\theta\) is the central angle in radian.
As per the statement:
In a circle with a radius of 9 yd, an arc is intercepted by a central angle of π/6 radians.
⇒r = 9 yd and \(\theta = \frac{\pi}{6}\)
Substitute the given values in [1] we have;
And use 3.14 for π .
\(l = 9 \cdot \frac{3.14}{6} = \frac{28.26}{6} = 4.71\) yd
Therefore, the arc length is, 4.71 yd
