Question
Download Solution PDFIf two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two circles of radii 18 cm and 8 cm touch externally
Concept used:
If two circles of radius R1 and R2 are touched externally then their direct common tangent = 2√(R1 and R2)
Calculation:
R1 = 18 cm
R2 = 8 cm
So, Direct common tangent = 2√(18 × 8)
⇒ 2√144
⇒ 2 × 12
⇒ 24 cm
∴ The length of the direct common tangent is 24 cm.
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