Answer:
[tex]\theta=0.45rad[/tex]
Step-by-step explanation:
The radian measure of the centeral angle of a circle of radius r and arc length of s, can be calculated using the relation: [tex]s=r\theta[/tex]
The radius is given as [tex]r=22ft[/tex] and the arc length is given as: [tex]s=10ft[/tex]
Let us substitute the values into the formula and solve for [tex]\theta[/tex].
This implies that:
[tex]10=22\theta[/tex]
We divide both sides by 22
[tex]\frac{10}{22}=\theta[/tex]
Therefore [tex]\theta=\frac{5}{11}[/tex]
