Multiple choice

If an arc of a circle of radius 6 cm subtends a central angle measuring 30°, then which one of the following is an approximate length of the arc?

  1. 3.14 cm

  2. 2.15 cm

  3. 2.14 cm

  4. 2 cm
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A Correct answer
Explanation

Arc length = (theta / 360) * 2 * pi * r = (30 / 360) * 2 * 3.14 * 6 = (1 / 12) * 12 * 3.14 = 3.14 cm.

AI explanation

The formula for the length of an arc is L = 2 * pi * r * (angle / 360). Substituting the given values gives L = 2 * 3.14 * 6 * (30 / 360). This simplifies to L = 37.68 * (1 / 12), which results in an arc length of 3.14 cm. The approximate length of the arc is 3.14 cm.

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