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Radius of a Circle

The number of...

Question

The number of radii a circle can have is _________________.

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Solution

Every circle have infinite no. of radii. This because number of points on the circumference of circle is infinite.

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Q. Fill in the blanks.
(i) A line intersecting a circle at two distinct points is called a ....... .
(ii) A circle can have ....... parallel tangents at the most.
(iii) The common point of a tangent to a circle and the circle is called the ....... .
(iv) A circle can have ...... tangents.

Fill in the Blanks:

(i) A tangent to a circle intersects it in ________ point(s).

(ii) A line intersecting a circle in two points is called a _______.

(iii) A circle can have _______ parallel tangents at the most.

(iv) A common point of a tangent to a circle and the circle is called ______.

Q. In each of the following, state if the statement is true (T) of false (F);

(i) Every circle has a centre.
(ii) The centre of a circle is a point of the circle.
(iii) Any two radii of a circle make up a diameter.
(iv) Every chord of a circle is parallel to some diameter of the circle.
(v) A circle is symmetric about each of its diameters.
(vi) The diameter is twice the radius.
(vii) A radius is a chord of the circle.
(viii) Concentric circles have the same radii.
(ix) The nearer a chord to the centre of a circle, the longer is its length.

Q. Fill in the blanks:

(i) The diameter of a circle is .....times its radius.
(ii) The diameter of a circle is the ..... chord of the cirlce.
(iii) The diameter of a circle pass through......
(iv) A chord of a circle is a line segment with its end points on the....
(v) If we join any two points on a circle by a line segment, we obtain.... of the circle.
(vi) A radius of a circle is a line segment with one end at .... and the other end at.....
(vii) All radii of a circle are.....
(viii) The diameters of a circle are
(ix) The total number of diameters of a circle is .....
(x) Every point on a circle is .....from its centre.
(xi) A chord of a circle contains exactly ...... points of the circle.
(xii) A diameter is the longest.......
(xiii) Concentric circles are circles having.......

Fill in the blanks:

(i) A tangent to a circle intersects it in _______ point (s).

(ii) A line intersecting a circle in two points is called a __________.

(iii) A circle can have __________ parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called ____.

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