The radian measure of the central angle is 1.4 radian
Given :
radius of circle r = 7cm
Arc length l = 10cm
Take arc length formula l = r x θ
l = r x θ
10 = 7 x θ
θ = 10/7 = 1.4
Therefore, the radian measure of the central angle is 1.4 radian
The degree of rotation from the initial side to the terminal side establishes how large an angle is. Radians are one unit of measurement for angles. Use a circle's centre angle to define a radian (an angle whose vertex is the centre of the circle). A central angle that intersects an arc that is the same length as the circle's radius (r) is measured in radians.
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