Solution:
The value of r is 19.1 cm
Explanation:
We know the arc length formulas which is shown below.
[tex]\theta= \frac{s}{r} \\\\r=\frac{s}{\theta}[/tex]
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
[tex]r=\frac{16}{0.837758} \\\\r=19.1 \text{ cm}[/tex]
Therefore, the value of r is r=19.1 cm
