Question

find the length of the tangent to a circle of radius 7 cm at a point from a distance 25 cm from the centre​

Answer 1

Answer:

the diagram of the tangent to a circle and the distance from it's centre forms a triangle ...

let centre be 'O' , then the point where tangent touches the circle be 'A' and the point where tangent starts is 'B' ...

AB is Adjacent side and OA is Opposite side and OB is hypotenuse side ...

AB be the length of the tangent ...

By Pythogarus Theorem ,

OB² = OA² + AB²

25² = 7² + AB²

AB² = 25² - 7²

= 625 - 49 = 576

=> AB =

$\sqrt{576}$

AB = 24 cm