Question

Two circles of diameters 2 cm and 5.6 cm are such that the distance between their centre is 8.2 cm. What is the length of a common tangent to the circles that does not intersect the line joining the centre5

Answer 1

Answer:

Step-by-step explanation:

Given

Answer 2

The length of common tangent is 8 cm.

Step-by-step explanation:

Since we have given that

Diameter = 2 cm

Radius = 1 cm

Diameter = 5.6 cm

Radius = 2.8 cm

Distance between their centre = 8.2 cm

So, length of common tangent would be

$\sqrt{D^2-(R-r)^2}\\\\=\sqrt{8.2^2-(2.8-1)^2}\\\\=\sqrt{8.2^2-1.8^2}\\\\=\sqrt{64}\\\\=8\ cm$

Hence, the length of common tangent is 8 cm.

# learn more:

Circumference of circle whose diameter is 5.6 cm

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