Question

Find the length of tangent drawn to a circle with radius 7 cm from a point 25 cm away from the centre

Answer 1

Answer:

Using pythagoras theorem,

OP

2

+PQ

2

=OQ

2

⇒OQ

2

+24

2

=25

2

⇒OQ

2

=25

2

−24

2

⇒OQ

2

=625−576=49

⇒OQ=

49

=7cm

∴ Radius of the circle is 7cm

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