Math, asked by sai5182, 1 year ago

the length of tangent drawn to a circle with radius r from a point P which is D units away fr iom the centre​

Answers

Answered by shrikantmehta76
0

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Step-by-step explanation:

Answered by isyllus
3

The length of tangent is \sqrt{D^2-r^2}

Step-by-step explanation:

The length of tangent drawn to a circle with radius r from a point P

Distance of point P from center is D

Please see attachment for figure.

Using PT square theorem of circle:-

PT^2=PA\cdot PB

where,

PA = D + r

PB = D - r

PT is length of tangent.

PT^2=(D+r)\cdot (D-r)

PT^2=D^2-r^2

PT=\sqrt{D^2-r^2}

Hence, the length of tangent is \sqrt{D^2-r^2}

#Learn more:

https://brainly.in/question/9395656

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