## RD Sharma Solutions Class 9 Chapter 16 Ex 16.1

*Q1) Fill in the blanks:*

*(i) All points lying inside/outside a circle are called ______ points/_______ points.*

*(ii) Circle having the same centre and different radii are called _____ circles.*

*(iii) A point whose distance from the center of a circle is greater than its radius lies in _________ of the circle.*

*(iv) A continuous piece of a circle is _______ of the circle.*

*(v) The longest chord of a circle is a ____________ of the circle.*

*(vi) An arc is a __________ when its ends are the ends of a diameter.*

*(vii) Segment of a circle is a region between an arc and _______ of the circle.*

*(viii) A circle divides the plane, on which it lies, in _________ parts.*

Solution:

(i) Interior/Exterior

(ii) Concentric

(iii) The Exterior

(iv) Arc

(v) Diameter

(vi) Semi circle

(vii) Center

(viii) Three

* *

*Q2) Write the truth value (T/F) of the following with suitable reasons:*

*(i) A circle is a plane figure.*

*(ii) Line segment joining the center to any point on the circle is a radius of the circle,*

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

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

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

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

*(vii) The degree measure of an arc is the complement of the central angle containing the arc.*

*(viii) The degree measure of a semi-circle is 180 ^{0}.*

Solution:

(i) T

(ii) T

(iii) T

(iv) F

(v) T

(vi) T

(vii) F

(viii) T