Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.?

Radius, r=16 ft
Arc length, s=10 ft

s = rθ

θ = s/r = 10/16 = 5/8

To find the radian measure of the central angle, you can use the formula:

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.

To find the radian measure of the central angle, you can use the formula:

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.