Question

the length of tangent is 4cm drawn from any point 10 cm away from centre of circle then what will be the radius of that circle
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Answer 1

Step-by-step explanation:

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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