Multiple choice

In a circle of radius 35 cm., an arc subtends an angle of 72o at the centre. Find the length of the arc.

  1. 36 cm.

  2. 33 cm.

  3. 44 cm.

  4. 46 cm.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The arc length formula is (θ/360) × 2πr, where θ is the central angle in degrees. Substituting θ=72° and r=35 cm: (72/360) × 2π × 35 = (1/5) × 70π = 14π ≈ 43.98 cm, which rounds to 44 cm. Option A (36 cm), B (33 cm), and D (46 cm) are incorrect calculations.

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