A point P is 13cm away from the centre of a circle. If the radius of the circle is 5 cm, then find the length of the tangent from point P to the circle.
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Answer:
Since tangent to a circle is perpendicular to the radius through the point of contact.
∴∠OTP=90
o
In right triangle OTP, we have
OP
2
=OT
2
+PT
2
⇒13
2
=OT
2
+12
2
⇒OT
2
=13
2
−12
2
⇒(13−12)(13+12)
⇒OT=5.
Hence, radius of the circle is 5 cm
hope you got it
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