Answer:
Option c is correct
l = 6.80 inches
Step-by-step explanation:
The arc length(l) of circle is given by:
\(l = r \theta\) .......[1]
where,
r is the radius of the circle and
\(\theta\) is the central angle in radian.
As per the statement:
radius(r) = 6 inch
\(\theta = 65^{\circ}\)
Use conversion:
1 degree = π/180=\(\frac{3.14}{180}\) radian
then;
65 degree = 1.13388889 radian.
Substitute the given values in [1] we have;
\(l = 6 \cdot 1.13388889\)
⇒\(l = 6.80333334\) inches
Therefore, the arc length of a circle to the nearest hundredth is, 6.80 inches
