Use the arc length formula and the given information to find θ.
s = 7m, r = 12m; θ = ?

Solution:

The diagram below depicts the problem statement,

The arc length formula is s = rθ

Where,

s = length of the arc subtended by angle θ

r = radius of the circle

θ = angle measured in radians

Here CA' and CB' are the radii = 12 m

A'B' is the arc length given as 7 m

Therefore,

θ = s/r = 5/7 radians

= 0.7143 radians

Use the arc length formula and the given information to find θ.
s = 7m, r = 12m; θ = ?

Summary:

Using the arc length formula, the value of θ for the given s = 7m, r = 12m is 0.7143 radians.