Multiple choice

The length of the minor arc ACB of a circle $\bigodot$(0, r) is 1/6 part of its circumference. Then the measure of angle of minor arc ACB subtending at the centre is ................

  1. 60

  2. 90

  3. 30

  4. 120
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A Correct answer
Explanation

The circumference of a circle subtends 360 degrees at the center. Since the arc is 1/6 of the circumference, the angle subtended is (1/6) * 360 = 60 degrees.

AI explanation

The length of the arc is one-sixth of the total circumference, so the fraction of the full circle it represents is 1 divided by 6. A full circle has 360 degrees, meaning we multiply this fraction by 360 to find the central angle, which gives 360 divided by 6. The result is 60 degrees.

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