The length of the intercepted arc can be calculated through the equation,
A = (θ/2π)(2πr)
where r is the radius. We are given that the value of diameter is 8 cm. Radius can be calculated by dividing the given diameter by 2.
radius = 8 cm/2 = 4 cm
Substituting the known values to the equation above,
12 cm = (θ/2π)(2π)(4 cm)
The value of θ from the equation is 3.
Answer: 3 radians
