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Mathematics — CBSE Class 10 board question

Q1. [1]
Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is :
  1. A $35$ cm
  2. B $11$ cm
  3. C $22$ cm
  4. D $25$ cm
Previously asked in CBSE board exam
2024 30/3/1 Q17
Generated by claude-sonnet-4-6 · 2026-06-15 10:36 · grounding rag
Model Answer

Option (C) 25 cm

Perimeter of sector = 2r + arc length = $2(7) + \dfrac{90}{360} \times 2 \times \dfrac{22}{7} \times 7 = 14 + 11 = **25$ cm**.

Explanation

Perimeter of a sector includes two radii + arc length (not just the arc). Students often forget to add the two radii. Here: arc = ¼ × 2π × 7 = 11 cm; adding 2 × 7 = 14 cm gives 25 cm. Option D is the answer.

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