Question:
If two circles of diameters 10 cm and 6 cm touch externally, then the distance between their centres is
If two circles of diameters 10 cm and 6 cm touch externally, then the distance between their centres is
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Remember: External touch $\rightarrow$ sum of radii; Internal touch $\rightarrow$ difference of radii.
Updated On: Jul 3, 2026
- 16 cm
- 2 cm
- 4 cm
- 8 cm
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The Correct Option is D
Solution and Explanation
Step 1: Concept
When two circles touch externally, the distance between their centers is the sum of their radii ($R_1 + R_2$).
Step 2: Meaning
Radius of first circle = $10 / 2 = 5\text{ cm}$. Radius of second circle = $6 / 2 = 3\text{ cm}$.
Step 3: Analysis
Distance between centers = $5 + 3$.
Step 4: Conclusion
The distance is 8 cm. Final Answer: (D)
When two circles touch externally, the distance between their centers is the sum of their radii ($R_1 + R_2$).
Step 2: Meaning
Radius of first circle = $10 / 2 = 5\text{ cm}$. Radius of second circle = $6 / 2 = 3\text{ cm}$.
Step 3: Analysis
Distance between centers = $5 + 3$.
Step 4: Conclusion
The distance is 8 cm. Final Answer: (D)
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