Final answer:
To find the angle in radians given an arc length of 7 m and a radius of 12 m, one can use the arc length formula, resulting in an angle of 0.5833 radians.
Step-by-step explanation:
To find the angle in radians given an arc length and a radius, you can use the arc length formula:
s = rθ
Where 's' is the arc length, 'r' is the radius, and 'θ' (theta) is the angle in radians.
Given that s = 7 m and r = 12 m, we can rearrange the formula to solve for 'θ':
θ = s / r
θ = 7 m / 12 m
θ = 0.5833 radians (rounded to four decimal places).
Therefore, the angle θ for the given arc length and radius is 0.5833 radians.