Question

A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.
.
.
●︿●​

Answer 1

Answer ;

Since tangent to a circle is perpendicular to the radius through the point of contact.

∴∠OTP=90°<

In right triangle OTP, we have

OP ² =OT² +PT²

⇒13 ² =OT² +12²

⇒OT² =13² −12²

⇒(13−12)(13+12)

⇒OT=5.

Hence, radius of the circle is 5 cm

hope it helps ✌✌

mark me has brainliest:-)✌

Answer 2

Step-by-step explanation:

Since tangent to a circle is perpendicular to the radius through the point of contact.

∴∠OTP=90°

In right triangle OTP, we have

OP²=OT²+PT²

13²=OT²+12²

OT²=13²+12²

⇒(13−12)(13+12)

⇒OT=5.

Hence, radius of the circle is 5 cm.