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Mathematics — CBSE Class 10 board question

Q1. [1]
A parallelogram having one of its sides 5 cm circumscribes a circle. The perimeter of parallelogram is :
  1. (a) 20 cm
  2. (b) less than 20 cm
  3. (c) more than 20 cm but less than 40 cm
  4. (d) 40 cm
Previously asked in CBSE board exam
2025 30/4/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 10:26 · grounding rag
Model Answer

(a) 20 cm

Since a parallelogram circumscribing a circle is a rhombus (all sides equal), perimeter = 4 × 5 = 20 cm.

Explanation

From Exercise 10.2, Q.11: a parallelogram circumscribing a circle is a rhombus (tangents from an external point are equal, so all four sides become equal). With one side = 5 cm, all sides = 5 cm, giving perimeter = 20 cm. Remember this key result for MCQs.

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