Multiple choice

In a circle of radius 28 cm, an arc subtends an angle of (72^\circ) at the centre. The length of the arc is -

  1. $32.3 cm$
  2. $36.4 cm$
  3. $28.4 cm$
  4. $35.2 cm$
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D Correct answer
Explanation

Arc length formula: l = (θ/360) × 2πr. Here θ = 72°, r = 28 cm. So l = (72/360) × 2π × 28 = (1/5) × 56π = 11.2π ≈ 35.2 cm (using π ≈ 3.14). This applies the standard arc length formula relating central angle to circumference fraction.

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