Question

Find the lenght of the tangent drawn from a point whose distance from the centre of a circle is 25cm. Given that radius of the circle is 7cm.

Answer 1

Given:

Let the distance from the centre to the point be AC = 25 cm, here, A is the centre and C is the point.BC is the tangent whose length is to be found.AB is the radius of 7 cm.

To find:

Length of BC

Solution:

In triangle ABC,

By pythagoras theorem,

AC2 = AB2 + BC2

(25)2 = (7)2 + BC2

BC2 = 625 - 49

BC2 = 576

BC = 24

Therefore, length of BC is 24 cm.

Answer 2

spouse the distance from the centre to the point be AC = 25 cm, , A is the centre and C is the point.BC is the tangent whose length is to be found.AB is the radius of 7 cm.

==)Length of BC


In triangle ABC,

By pythagoras theorem,

==)AC2 = AB2 + BC2

===)(25)2 = (7)2 + BC2

==)BC2 = 625 - 49

==)BC2 = 576

===)BC = 24

There4, length of BC is 24 cm.


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