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# Ex 10.1 NCERT Solutions- Circles Class 9 Notes | EduRev

## Class 9 Mathematics by Full Circle

Created by: Full Circle

## Class 9 : Ex 10.1 NCERT Solutions- Circles Class 9 Notes | EduRev

The document Ex 10.1 NCERT Solutions- Circles Class 9 Notes | EduRev is a part of the Class 9 Course Class 9 Mathematics by Full Circle.
All you need of Class 9 at this link: Class 9

Question 1. Fill in the blanks: (i) The centre of a circle lies in _________ of the circle. (ii) A point, whose distance from the centre of a circle is greater than its radius lies in _________ of the circle. (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

(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.

(iii) If a circle is divided into three equal arcs, each is a major arc.

(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.]

ANGLE SUBTENDED BY A CHORD AT A POINT

REMEMBER

• Equal chords of a circle subtend equal angles at the centre.
• If two chords of a circle subtend equal angles at the centre, then the chords are equal.

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