Question

calculate the length of a tangent from a point 13cm away from the centre of a circle radius 5cm​

Answer 1

ABC is a right triangle as Tangent and radius are perpendicular

Therefore, by Pythagoras theorem :-

AC² = AB² - BC²

AC² = 5² - 13²

AC² = 25 - 169

AC = √144

AC = 12cm

Length of Tangent is 12cm.

Answer 2

Step-by-step explanation:

Radius (r) =5cm

diameter (d) =13cm

length of a tangent = √d²-r²

= √13²-5²

= √169-25

=√144

= 12cm