Question

The length of a tangent from a point A at distance 5 cm from the centre of

the circle of 4 cm . Find the radius of the circle​

Answer 1

Answer:

Radius= 3cm

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= √9

=> OT= 3cm