Question
Download Solution PDFIn the following figure, there are two circles that touch each other externally. The radius of the first circle with centre P is 25 cm. The radius of the second circle with centre Q is 4 cm. Find the length of their direct common tangent AB.
Figure is not to scale and is only for representational purpose
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of large circle = 25 cm
Radius of small circle = 4 cm
Formula used:
Direct common tangent = 2 × √(R × r)
Calculation:
Direct common tangent (AB) = 2 × √(R × r)
⇒ 2 × √(25 × 4)
⇒ 2 × 10 = 20 cm
∴ The correct answer is 20 cm.
Last updated on Jun 13, 2025
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