Question

What is the distance between two paralle tangent of a circle having radius 4.5 ? Justify ypir answer

Answer 1

Two tangents to a circle are parallel only when they touch the circle at diametrically opposite points. See attachment.

So the distance between them is same as the diameter.

Radius = 4.5 units.

Diameter = 2 × radius = 2×4.5 = 9 units

So the distance between the tangents is 9 units.

Answer 2

$If \: two \: tangent \: of \: a \: circle \: are \: parallel \\ then \: distance \: between \: them \: is \: equal \: to \\its \: diameter. \\ \\ \\ \\ diameter = 2 \times radius \\ \: \: \: = 2 \times 4.5 \\ = 9$
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