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Chapter: Circle· Mathematics Part 2 (Geometry)

Asked in: July 2024 board paper (same question with radii 5.5 cm and 4.2 cm in July 2025; radii 5 cm and 3 cm as a 1-mark question in March 2024; circles touching internally in March 2026)Two circles of radii 5.5 cm and 3.3 cm respectively touch each…

Asked in: July 2024 board paper (same question with radii 5.5 cm and 4.2 cm in July 2025; radii 5 cm and 3 cm as a 1-mark question in March 2024; circles touching internally in March 2026)

Two circles of radii 5.5 cm and 3.3 cm respectively touch each other externally. Then the distance between their centres is ____

A. 4.4 cm

B. 8.8 cm

C. 2.2 cm

D. 8.3 cm

1 answer

Best answer

Answer: (B) 8.8 cm

When two circles touch each other externally, the distance between their centres is the sum of their radii.

\(\therefore\) distance \(= 5.5 + 3.3 = 8.8\) cm.

The same rule gives 5.5 + 4.2 = 9.7 cm (July 2025) and 5 + 3 = 8 cm (March 2024). When circles touch internally, the distance is the difference of the radii: radii 4 cm and 5 cm give 5 − 4 = 1 cm (March 2026).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report
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