Question
Download Solution PDFThe length (in cm of the transverse common tangent to two circles of radii 2 cm and 5 cm, the centre of the circles being 8 cm apart, is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length (in cm) of the transverse common tangent to two circles of radii 2 cm and 5 cm, the centre of the circles being 8 cm apart.
Formula used:
Length of transverse common tangent = \(\sqrt{d^2 - (r_1 + r_2)^2}\)
Where, d = distance between centers, r1 and r2 are the radii of the circles.
Calculations:
r1 = 2 cm
r2 = 5 cm
d = 8 cm
Length of transverse common tangent = \(\sqrt{8^2 - (2 + 5)^2} \)
⇒ \(\sqrt{64 - 49}\)
⇒ \(\sqrt{15}\)
∴ The correct answer is option 2.
Last updated on Dec 9, 2024
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