Answer:
1.99 radians or 114.02°
Explanation:
You want the measure of a circular arc of length 23.88 inches and radius 12 inches.
Arc length
The equation relating angle, radius, and arc length is ...
s = rθ . . . . . . s = arc length, r = radius, θ = central angle in radians
Solving for θ gives ...
θ = s/r = (23.88 in)/(12 in) = 1.99 radians
The corresponding arc measure in degrees is ...
1.99 radians × 180°/π ≈ 114.02°
The measure of arc AB is 1.99 radians, about 114.02°.
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