NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.1
NCERT Solutions for Class
9 Maths Chapter 10 Circles Ex 10.1 are the part
of NCERT Solutions for Class 9 Maths. Here you can find the NCERT Solutions for
Chapter 10 Circles Ex 10.1.
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 × Radius]
(v)
False [ ∵ The region between the chord and its
corresponding arc is a segment]
(vi)
True [ ∵ A circle is drawn on a plane]
NCERT Solutions for Maths Class 10