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Chandragupta Maurya

Is every diam...

Question

Is every diameter of a circle is double the length of its radius?

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Solution

Step1: Explaining
In every circle, the diameter is double the length of its radius.
Final answer: Yes, every diameter of a circle is double the length of its radius.

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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.

Fill in the blanks with suitable words:

1. Diameter of a circle is _______ its radius.

2. Radius of a circle is ______ its diameter.

3. The diameters of a circle intersect at the ______.

4. The chord passing through the centre of a circle is _________.

5. The biggest chord of a circle is ______.

6. The lengths of the radii of a circle are _______.

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.......

The radius of a circle is double of its diameter.

Q. The radius of a circle is double of its diameter. State true or false.

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