Ex 10.1 NCERT Solutions- Circles Class 9 Notes | EduRev

Class 9 Mathematics by Full Circle

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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.
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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


Question 2. Write True or False. Give reasons for your answers. 

(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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