Question

the length of tangent to a circle of radius 2.5cm from an external point P is 6cm. find the distance of P from the nearest point of a circle ​

Answer 1

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The shortest distance from point P to the circle is the length of x.

Now, the hypotenuse OP equals to

$\sqrt{2.5 {}^{2} + 6 {}^{2} }$

$= 6.5 \: cm$

Therefore,

x = 6.5-2.5 = 4

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