Math, asked by abhiram58, 10 months ago

if the length of tangent is 4 cm drawn from any point 10 cm away from the centre of circle then what will be the radius of the circle​

Answers

Answered by Nikhil0204
2

ANSWER :-

Length of tangent =x =4 cm

Length of tangent to centre of circle =y =10 cm

Radius of circle =z =?

By using Pythagoras theorem,

 {y}^{2}  =  {x}^{2}  +   { radius \: of \: circle}^{2}  \\  {10}^{2}  =  {4}^{2}  +  {z}^{2}  \\ 100 = 16 +  {z}^{2} \\  {z }^{2}  = 100 - 16 \\  {z}^{2}  = 84 \\  z =  \sqrt{84}  \\ z = 9.16515139  \: cm \:  \:  \: (answer)

=> radius of circle= 9.165151139 cm

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Answered by jitendrabansal
3

Answer:

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