The length of the tangent drawn to a circle with radius 7 cm from a point 25 c

Question

The length of the tangent drawn to a circle with radius 7 cm from a point 25 cm away from the centre is = ___ cm.

Answer:
:

∠

ABO=

90^{\circ}

(point of contact)
Using Pythagoras theorem

{A O}^{2}

{A B}^{2}

{B O}^{2}

25^{2}

{A B}^{2}

7^{2}

25^{2}

7^{2}

{A B}^{2}

24= AB
length of the tangent = 24 cm

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