NCERT Solutions for class 9 maths chapter 10 – Circles

class 9 ex 10.1 Question 1

(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.

Answer

(i) interior

(ii) exterior

(iii) diameter

(iv) semicircle

(v)chord

(vi) three

Ex-10.1 class 9 Question 2

Write True or False: Give reasons for your Solutions.

(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.

Answer

(i) True
Line segment joining the centre to any point on the circle is a radius of the circle and equidistant from the centre

(ii) False
An infinite number of equal chords in circle

(iii) False
Equal arcs on a circle can't be a major arc or a minor arc

(iv) True
Diameter = 2 x Radius

(v) False
Region of a circle between the arc and the two radii of the circle is sector.

(vi) True
A circle is a plane figure