Question

the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle.​

Answer 1

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Answer 2

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.