Question

Find the lenght of the tangents drawn from a point whose distance from the centre of the circle is 25cm and radius =7cm.(please send the steps)​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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.