Multiple choice

The angle subtended at center of circle if the length of arc is $\dfrac{1}{3}$ times the circumference is (in degree)

  1. 120

  2. 150

  3. 240

  4. 200
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A Correct answer
Explanation

The circumference corresponds to 360 degrees. If the arc length is 1/3 of the circumference, the angle is 1/3 * 360 = 120 degrees.

AI explanation

The proportion of the arc length to the total circumference is one third. Since a full circle corresponds to a central angle of 360 degrees, the angle subtended by this arc is one third of 360 degrees. Multiplying 360 by one third gives 120 degrees.

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