Question

draw the two tangents from a point which is 5cm away from the centre of a circle of diameter 6cm also measure the lengths of the tangents
​

Answer 1

ANSWER:

given

diameter of a circle =6cm

radius =6/2=3 cm

distance from a circle to a point A=5cm

REQUIRED TO FIND:

length of tangents drawn from the point

METHOD:

refer the attachment

THEOREMS AND

FORMULAE USED:

$> two \: tangents \: drawn \: from \: the \: same \: point \: are \: equal$

$> the \: \: angle \: at \: the \: point \: where \: radius \: and \: a \: tangent \: meet \: is \: 90$

$> in \: a \: right \: angled \: triangle \\ square \: of \: the \: hypotenuse = sum \: of \: squares \: of \: other \: two \: sides$