find the length of the tangent egment from a point which is at a distance of 5 cm from the centre of yhe circle of radius 3 cm
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find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3 cm.
solution
radius of the circle = 3 cm
length of the segment joining centre of the circle and the external point = 5 cm
so we have to find the length of the tangent
we know that a tangent is always perpendicular to the radius at the point of contact.
so we will get a right angle triangle.
now
base = 3 cm
hypotenuse = 5 cm
height = ?
so height = √ h²-b²
= √ 5²-3²
√ 25-9
=√16
=4 cm
so the length of the tangent is 4 cm
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