# CLASS 9 MATH NCERT SOLUTION FOR CHAPTER – 10 Circles Ex – 10.1

## Circles

Question 1.
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.

Solution:
(i) interior
(ii) exterior
(iii) diameter
(iv) semicircle
(v) the chord
(vi) three

Question 2.

(i) Line segment joining the centre to any point on the circle is a , radius of the circle.

(ii) A circle has only finite number of equal chords.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

(v) Sector is the region between the chord and its corresponding arc.

(vi) A circle is a plane figure.

Solution:

(i) True [∵ All points on the circle are equidistant from the centre]

(ii) False [ ∵ A circle can have an infinite number of equal chords]

(iii) False [∵ Each part will be less than a semicircle]

(iv) True [ ∵ Diameter = 2 x Radius]

(v) False [ ∵ The region between the chord and its corresponding arc is a segment]

(vi) True [ ∵ A circle is drawn on a plane]

#### CLASS 9 MATH NCERT SOLUTION FOR CHAPTER – 10 CIRCLES EX – 10.2

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