Give a definition for radius of a circle. Are there other terms that need to be defined first? What are they, and how might you define them?
Radius of a circle :-
It is the distance between the centres of a circle to any point lying on the circle.
To define the radius of a circle, we must know about point and circle.
If a point C lies between two points A and B such that AC = BC, then prove that Ac = 1/2AB. Explain by drawing the figure.
Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A terminated line can be produced indefinitely on both the sides.
(iv) If two circles are equal, then their radii are equal.
(v) In the following figure, if AB = PQ and PQ = XY, then AB = XY
Give a definition for line segment. Are there other terms that need to be defined first? What are they, and how might you define them?