Question
Download Solution PDFThe distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of large circle (R) = 16 cm
Radius of small circle (r) = 8 cm
Distance between centre (D) = 26 cm
Formula used:
Direct common tangent = √{D2 - (R - r)2}
Calculation:
Direct common tangent = √{D2 - (R - r)2}
⇒ AB = √{262 - (16 - 8)2}
⇒ AB = √{676 - 64} = √612 = 2 × √153
∴ The correct answer is 2√153.
Last updated on Jul 21, 2025
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