Answer :

θ will be in degrees.


Arc-length can be given by the formula : θ / 360° × 2πr


Hence it is given that 121 cm is the arclength.


121 = θ / 360° × 2πr


= 121 = θ / 360° × 2 × 22 / 7 × 180


= 121 = θ / 360° × 360 × 22 / 7


= 121 = θ × 22 / 7


θ = 121 × 7 / 22


= 38.5°


Hence the angle subtended at the middle is 38.5°


Which can also be written as 38° 30.’


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