If a point is 41 cm away from the centre of a circle with centre O and radius 9 cm, the length of the tangent drawn from the same point to the circle is
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If a point is 41 cm away from the centre of a circle with centre O and radius 9 cm, the length of the tangent drawn from the same point to the circle is
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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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