We will find that the measure of the central angle of a circle with a radius 15ft that intercepts a 10ft arc is 0.667 radians.
So for a circle of radius R, we can compute the circumference as:
C = 2*π*R
If we only have an arc defined by an angle θ, then the length of the arc is (θ/2π) times the circumference, so the length of the arc is just:
L = θ*R
Here we know that the radius is R = 15ft and the arc measures 10ft, then:
10ft = θ*15ft
10ft/15ft = θ = 0.667
The angle measures 0.667 radians.
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https://brainly.com/question/17009561
