Question

Use the arc length formula and the given information to find r. s = 16 cm, θ= 48°; r = ? (1 point)

Answer 1

Solution:

The value of r is 19.1 cm

Explanation:

We know the arc length formulas which is shown below.

$\theta= \frac{s}{r} \\\\r=\frac{s}{\theta}$

Here the angle is in radian.

We have been given that

s = 16 cm, θ= 48°

We know that 1 degree = 0.0174533 radian

Hence, 48° = 0.837758 radian

On substituting these values in the formula, we get

$r=\frac{16}{0.837758} \\\\r=19.1 \text{ cm}$

Therefore, the value of r is r=19.1 cm

Answer 2

I converted θ to radians, then put that and the length of the arc into the formula shown.