- A circle is the set of all those points, say P, in a plane, each of which is at a constant distance from a fixed point in that plane.
The fixed point is called the center and the constant distance is called the radius.
All radii of a circle are equal.
- A line segment joining any two points of a circle is called a chord of the circle.
A chord of a circle passing through its center is called a diameter of the circle
- Length of diameter = 2 × radius
Exercise.
1. Fill in the blanks with correct word(s) to make the statement true:
(i) Radius of a circle is one-half of its.....
(ii) A radius of a circle is a line segment with one end point at..... and the other end on.....
(iii) A chord of a circle is a line segment with its end points....
(iv) A diameter of a circle is a chord that..... the center of the circle.
(v) All radii of a circle are.....
2. State which of the following statements are true and which are false:
(i) A line segment with its end-points lying on a circle is called a diameter of the circle.
(ii) Diameter is the longest chord of the circle.
(iii) The end-points of a diameter of a circle divide the circle into two parts; each part is called a semi-circle.
(iv) A diameter of a circle divides the circular region into two parts; each part is called a semi-circular region.
(v) The diameters of a circle are concurrent. The center of the circle is the point common to all diameters.
(vi) Every circle has unique center and it lies inside the circle.
(vii) Every circle has unique diameter.
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