Question

A point P is 5cm from the centre of the circle. The length of the tangent drawn from P to the circle is 4 cm. Find the radius of the circle.​

Answer 1

Answer:

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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.