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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. - Mathematics

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प्रश्न

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.

योग

उत्तर

 
OP = 10 cm; radius OT = 8 cm

∵ OT ⊥ PT 

In right ΔOTP, 

OP2 = OT2 + PT2

102 = 82 + PT2

PT2 = 100 – 64

PT2 = 36

PT = 6

Length of tangent = 6 cm.

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अध्याय 18: Tangents and Intersecting Chords - Exercise 18 (A) [पृष्ठ २७४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 18 Tangents and Intersecting Chords
Exercise 18 (A) | Q 1 | पृष्ठ २७४
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