Answer :
The measure of the central angle is 2.15 radians if the radius of the circle is 7 in.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The radius of the circle = 7 in
Arc length = 15 in
We know,
s = rθ
s is the arc length, θ is the central angle, and r is the radius of the circle.
15 = 7θ
θ = 15/7
θ = 2.142 radians ≈ 2.15
Thus, the measure of the central angle is 2.15 radians if the radius of the circle is 7 in.
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