Question
Download Solution PDFRadii of two circles are 12 cm and 5 cm. Distance between their centres is 25 cm. What is the length of the direct common tangent?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radii of two circles are 12 cm and 5 cm. Distance between their centres is 25 cm.
Formula used:
Length of the direct common tangent of two circles =
Calculation:
Let the centres be at P and Q.
QN = Radius of the bigger circle = 12 cm
PM = Radius of the smaller circle = 5 cm
Let MN be the direct common tangent.
According to the formula,
Length of MN
⇒
⇒
⇒ 24 cm
∴ The length of the direct common tangent is 24 cm.
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