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Class 9 NCERT Solutions – Chapter 10 Circles – Exercise 10.1

Last Updated : 30 Jun, 2022
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Question 1: Fill in the blanks

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

Answer: Interior.

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

Answer: Exterior.

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

Answer: Diameter.

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

Answer: Semicircle.

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

Answer: Chord.

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

Answer: Three.

Problem 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.

Answer: True, Any line segment drawn from the centre of the circle to any point on it is called radius of the circle and will be of equal length.

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

Answer: False, There can be infinite number of equal chords in a circle.

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

Answer: False, When the arcs are not equal we will have major and minor arc, equal arcs cannot be classified as a major arc or a minor arc.

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

Answer: True, Diameter is the longest chord of the circle and the length of the longest chord in a circle is twice the length of radius of the circle.

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

Answer: False, Sector is defined as the region between the arc and 2 radii of the circle.

(vi) A circle is a plane figure

Answer: True, A circle is a 2D figure which can be drawn on a plane.

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