Question

-UZ
6. The length of a tangent from a point A at distance 5 cm from the centre of the circle is!
cm. Find the radius of the circle.
Tivonnantain miles refredi 5 cm and 3 cm. Find the lenoth neu​

Answer 1

Answer:

Let AT be the tangent drawn from a point A to a circle with centre 

O and OA=5 cm and AT=4 cm. Since tangent at a point is 

perpendicular to the radius through the point of contact

∴OT⊥AT 

∴ from right angled △OAT,

(OA)2=(OT)2+(TA)2

⇒(5)2=(OT)2+(4)2

⇒25−16=(OT)2

⇒9=(OT)2

⇒OT=3 cm

∴ radius of the circle =3 cm.