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

The answer is C.

The arc length is 6.806784.

Hope this helps.

Answer 2

Option c is correct

l = 6.80 inches

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=
`(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