Question
Download Solution PDFThere are two circles touching each other externally. The radius of the first circle with centre O is 12 cm. The radius of the second circle with centre A is 5 cm. Find the length of their common tangent touching the two circles at points P and Q.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
If two circles touch each other externally, then the length of their common tangent = 2√r1r2 , where r1 and r2 are radius
Calculation:
Radius of the first circle (r1) = 12
Radius of the second circle (r2) = 5
Then, according to the question,
the length of their common tangent BC
= 2√(12 × 5)
= 2√60
= 2 ×√(4 × 15)
= 4√15 cm
∴ The correct answer is 4√15 cm.
Last updated on May 28, 2025
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