Question

Two circles of radii 8 cm and 3 cm have their centres
13 cm apart. Find the length of a direct common
tangent to the two circles.​

Answer 1

Answer:

12cm

Step-by-step explanation:

length of direct common tangent= √d^2-(r1-r2)^2. where D is distance between the centres and r1 and r2 are radius of two circles respectively

√169-(25)

√144

12cm

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Answer 2

The length of a direct common tangent is 12 cm.

Step-by-step explanation:

Since we have given that

Radii of two circles = 8 cm and 3 cm

Distance between their centres = 13 cm

We need to find the length of a direct common tangent to the two circles.

As we know that

$Length=\sqrt{D^2-(R-r)^2}\\\\Length=\sqrt{13^2-(8-3)^2}\\\\Length=\sqrt{169-5^2}\\\\Length=\sqrt{169-25}\\\\Length=\sqrt{144}\\\\Length=12\ cm$

Hence, the length of a direct common tangent is 12 cm.

# learn more:

Two circles of radii 8 cm and 3 cm have a direct common tangent of length 10 cm. Find the distance between their centres

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