Tangent - Radius Property

Objective

To verify experimentally that the tangent at any point to a circle is perpendicular to the radius through that point.

Theory

1) What is tangent?

       A line that touches the circle at a single point is known as tangent to a circle.

                                                    

                                                   Fig. (A) Tangent to the circle

2) What is the radius of a circle?

     The distance from the centre of a circle to the outside edge.

3) What is secant of a circle?

    A straight line that intersects a circle in two points is called a secant line.

                                                     

                                                  Fig. (B) Secant of the circle                                                       

4) What are perpendicular lines?   

       Perpendicular lines are lines that intersect at a right (90°) angle.

5) Maths rule:

    Shortest distance between a point and line is perpendicular distance.