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-UZ6. 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 |
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Answer» 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. |
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