The formula for determining the length of an arc is experessed as
arc length = θ x r
where
θ is the central angle
r is the radius of the circle
From the information given,
arc length = 7π in
r = 14 in
By substituting these values into the formula,
7π in = θ x 14 in
We would divide both sides of the equation by 14 in. We have
7π in/14 in = θ x 14 in/14 in
θ = π/2
