Multiple choice

Points A and B lie on a circle with radius 1, and arc AB has a length of 𝛑/3. What fraction of the circumference of the circle is the length of arc AB?

  1. 1/2

  2. 1/3

  3. 1/5

  4. 1/6
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D Correct answer
Explanation

Circumference = 2 * pi * r = 2 * pi * 1 = 2 * pi. Arc length = pi / 3. Fraction = (pi / 3) / (2 * pi) = 1 / 6.

AI explanation

The total circumference of the circle is calculated using the formula 2 times pi times the radius. With a radius of 1, the circumference is 2 times pi. The fraction of the circumference represented by the arc length is pi divided by 3, divided by 2 times pi, which simplifies to 1/6.

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