Question

what is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? use 3.14 for π and round your answer to the nearest hundredth. a.) 0.65 inch b.) 1.13 inches c.) 6.80 inches d.) 390.01 inches

Answer 1

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

Answer 2

The answer is C.

The arc length is 6.806784.

Hope this helps.