Question

a length of a tangent from a point A at distance 5 cmfrom the centre of the cricleis 4cm .find the radius of a cricle?​

Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

Answer is 3cm

Step-by-step explanation:

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