Question

a point P is 15cm from the centre of the circle . the radius of circle is 5 cm. find the length of a tangent drawn to the circle from point P​

Answer 1

Answer:

$\huge \underline{ \sf{ \red{Given}}}$

Take centre as 'O'

Op=15cm, OR=5cm

Find :-

Length of tangent drawn to the circle from point P

Solution :-

From Pythagoras theorm

PR²=OR²+OP²

${pr}^{2} = {5}^{2} + {15}^{2}$

$pr = \sqrt{ {5}^{2} + {15}^{2} }$

$pr = \sqrt{25 + 225}$

$pr = \sqrt{250}$

$= 5 \sqrt{10}$

The length of tangent drawn to circle is 5√10.