Find the length of the tangent drawn from a
point 31cm away from the centres foto
of
Radius Som
Answers
Answered by
1
Answer:
Let P be the given point, O be the centre of the circle and PT be the length of tangent from P.
Then, OP=25 cm and OT=7 cm.
Since tangent to a circle is always perpendicular to the radius through the point of contact.
∴∠OTP=90
o
In right triangle OTP, we have
OP
2
=OT
2
+PT
2
⇒25
2
=7
2
+PT
2
⇒PT
2
=25
2
−7
2
=(25−7)(25+7)=576
⇒PT=24 cm.
Hence, length of tangent from P=24 cm.
Step-by-step explanation:
Similar questions