Answer:
The radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
Step-by-step explanation:
The radian measure of the central angle θ of a circle of radius r that intercepts an arc of length s can be calculated from the formula given below
s =rθ
where s is the length of arc
r is radius of the circle
and θ is the central angle in rad (radian)
From s = rθ, Then
θ = s / r
From the question,
Radius r = 19 feet
and Arc length s = 7 feet
Hence,
θ = s / r becomes
θ = 7 / 19
∴ θ [tex]= \frac{7}{19} rad[/tex]
This means the radian measure of the central angle of the given circle is [tex]\frac{7}{19} rad[/tex]
