Say true or false:
(a) Two diameters of a circle will necessarily intersect
(b) The Centre of a circle is always in its interior.
A circle is formed by the set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) in the plane.
Answer: Both the statements are true
Let's check the statements
We know that a diameter of a circle will always pass through the center. Hence, the two diameters of a circle will necessarily intersect at the center.
We also know that the center of a circle will lie inside the circle.