Class 9 NCERT Solutions – Chapter 10 Circles – Exercise 10.1
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.
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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