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The Radius of a Circle is 8 Cm. Calculate the Length of a Tangent Draw to this Circle from a Point at a Distance of 10 Cm from Its Centre. - ICSE Class 10 - Mathematics

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ConceptTangent Properties - If a Line Touches a Circle and from the Point of Contact, a Chord is Drawn, the Angles Between the Tangent and the Chord Are Respectively Equal to the Angles in the Corresponding Alternate Segments

Question

The radius of a circle is 8 cm. calculate the length of a tangent draw to this circle from a point at a distance of 10 cm from its centre.

Solution

 

OP = 10 cm; radius OT = 8 cm

∵ OT ⊥ PT 

in RT Δ OTP, 

`OP^2 = OT^2 +PT^2`

`10^2= 8^2 + PT^2`

`PT^2=100-64`

`PT^2=36`

PT=6

Length of tangent = 6 cm.

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Solution The Radius of a Circle is 8 Cm. Calculate the Length of a Tangent Draw to this Circle from a Point at a Distance of 10 Cm from Its Centre. Concept: Tangent Properties - If a Line Touches a Circle and from the Point of Contact, a Chord is Drawn, the Angles Between the Tangent and the Chord Are Respectively Equal to the Angles in the Corresponding Alternate Segments.
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