Chapter 10 Circles
Ex 10.1 Class 9
Maths 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
Ex 10.1 Class 9
Maths Question 2.
Write True or False. Give
reason 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]
