Question

the distance between the centres of two circles with radii 4 cm and 5 cm is 10 cm .The length of their direct common tangent is​

Answer 1

Answer:

12 cm is your answer

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Answer 2

Answer:

The length of the direct common tangent is $\sqrt{99}$

Step-by-step explanation:

According to the question,

• Radius of the first circle r₁ = 4 cm

• Radius of the second circle r₂ = 5cm

• The distance between the centers of the two circles, D= 10cm

Using the formula,

Direct common tangent of two circles = $\sqrt{D^2 - (r_{2} -r_{1})^2 }$

=$\sqrt{10^{2}-(5-4)^2 }$

=$\sqrt{99}$

The correct answer is $\sqrt{99}$