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Angle Subtended by an Arc of a Circle on the Circle and at the Center

Fill in the b...

Question

Fill in the blanks:
Every point on a circle is __________ from its centre.

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Solution

We know that a circle is the set of all points that are an equal distance (radius) from a given point (centre). In other words, every point on the circumference of a circle is equidistant from its centre. The diameter is also the name given to the maximum distance between two points on a circle.

Hence, every point on a circle is equidistant from its centre.

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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.......

Q. Fill in the blanks:
(1) The centre of a circle lies in ___________ of the circle (exterior/interior)
(2) A point whose distance from the centre of a circle is greater than its radius lies in ___________ of the circle
(3) The longest chord of a circle is a ____________ of the circle.
(4) An arc is a ____________ when its ends are the ends of a diameter.
(5) Segment of a circle is the region between an arc and __________ of the circle.
(6) A circle divides the plane, on which it lies in ______________ parts.

Fill in the blanks

(i) The centre of a circle lies in __________ of the circle. (exterior/ interior)

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)

(iii) The longest chord of a circle is a __________ of the circle.

(iv) An arc is a __________ when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and __________ of the circle.

(vi) A circle divides the plane, on which it lies, in __________ parts.

Q. Fill in the blanks:

(i) All points lying inside/outside a circle are called ........ points /.......points.

(ii) Circles having the same centre and different radii are called ...... circles.

(iii) A point whose distance from the centre of a circle is greater than its radius lies in ......of the circle.

(iv) A continuous piece of a circle is ....... of the circle.

(v) The longest chord of a circle is a ....... of the circle.

(vi) An arc is a ..... when its ends are the ends of a diameter.

(vii) Segment of a circle is the region between an arc and ....of the circle.

(viii) A circle divides the plane, on which it lies, in ...... parts.

Q. Fill In The Blanks

AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30cm, then the distance of AB from the centre of the circle is ________.

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