Question

In a circle with a radius of 9 yd, an arc is intercepted by a central angle of π/6 radians.

What is the arc length?

Use 3.14 for π .

Enter your answer as a decimal in the box.

Answer 1

Arc length = radius * central angle (in radians)
Arc length = 9 yards * PI/6
Arc length = 4.7124

Answer 2

the arc length is, 4.71 yd

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 = (\pi)/(6)`

Substitute the given values in [1] we have;

And use 3.14 for π .

`l = 9 \cdot (3.14)/(6) = (28.26)/(6) = 4.71` yd

Therefore, the arc length is, 4.71 yd