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s = rθ
θ = s/r = 10/16 = 5/8
Radius, r=16 ft
Arc length, s=10 ft
θ = s/r = 10/16 = 5/8
θ = s / r
where:
θ is the radian measure of the central angle,
s is the length of the intercepted arc, and
r is the radius of the circle.
Given that the radius, r, is 16 ft and the arc length, s, is 10 ft, we can substitute these values into the formula:
θ = 10 ft / 16 ft
Simplifying the fraction, we get:
θ = 5/8 radians
Therefore, the radian measure of the central angle is 5/8 radians.
θ = s / r
where:
θ = radian measure of the central angle
s = arc length
r = radius of the circle
Substituting the given values in the formula:
θ = 10 ft / 16 ft
θ ≈ 0.625 radians
Therefore, the radian measure of the central angle is approximately 0.625 radians.