EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Circles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The distance around the circle is called
(i)
diameter
(ii)
chord
(iii)
arc
(iv)
circumference
(v)
radius
Question
2
2.
Half of a circle is called
(i)
centre
(ii)
semi-circle
(iii)
circumference
(iv)
radius
(v)
chord
Question
3
3.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
The area enclosed by a chord and its major arc is called major segment.
c)
A circle divides the plane on which it lies into three parts.
d)
The diameter divides the circle into two unequal parts.
e)
The area enclosed by a chord and its minor arc is called minor segment.
(i)
{a,b,c}
(ii)
{a,b}
(iii)
{b,c,e}
(iv)
{a,d,e}
(v)
{d,c}
Question
4
4.
The minor sector of the circle is
(i)
IDFEI
(ii)
DFEHD
(iii)
IDGEI
(iv)
DGEHD
(v)
DFE
Question
5
5.
The angle between a tangent to a circle and the radius drawn at the point of contact is
(i)
105°
(ii)
95°
(iii)
90°
(iv)
100°
(v)
120°
Question
6
6.
If the radius of a circle is 21 cm, what is its diameter?
(i)
41 cm
(ii)
42 cm
(iii)
44 cm
(iv)
43 cm
(v)
40 cm
Question
7
7.
The centre of the circle is
(i)
H
(ii)
K
(iii)
F
(iv)
I
(v)
G
Question
8
8.
A line segment having its end points on the circle is called a
(i)
chord
(ii)
major segment
(iii)
segment
(iv)
radius
(v)
diameter
Question
9
9.
The radii of the circle are
(i)
EF
,
FG
,
GH
,
HD
(ii)
DE
,
EF
,
FG
,
GH
,
HD
(iii)
DE
,
EF
,
FG
,
GH
,
HD
,
IH
(iv)
ID
,
IE
,
IF
,
IG
,
IH
(v)
DE
,
EF
,
FG
,
GH
,
HD
,
FH
Question
10
10.
A chord of a circle divides the whole circular region into two parts, each called a
(i)
centre
(ii)
semi-circle
(iii)
radius
(iv)
diameter
(v)
segment
Question
11
11.
A line segment joining any point on the circle with its centre is called
(i)
diameter
(ii)
radius
(iii)
major segment
(iv)
semi-circle
(v)
centre
Question
12
12.
Find the points belonging to the outside of the circle
(i)
{J,K}
(ii)
{I,K}
(iii)
{J,M}
(iv)
{K,N}
(v)
{I,L}
Question
13
13.
Which of the following figures represent a secant ?
(i)
fig II
(ii)
fig I
(iii)
fig V
(iv)
fig III
(v)
fig IV
Question
14
14.
The diameters of the circle are
(i)
KL
,
LM
,
MN
,
NO
,
OK
,
MO
(ii)
PK
,
PL
,
PM
,
PN
,
PO
(iii)
KL
,
LM
,
MN
,
NO
,
OK
(iv)
PK
,
PL
,
PM
,
PN
,
PO
,
MO
(v)
MO
Question
15
15.
Which of the following statements are true?
a)
A circle consists of an infinite number of points.
b)
Each radius of a circle is also a chord of the circle.
c)
Every circle has a unique diameter.
d)
Every circle has a unique centre.
e)
A line can meet a circle atmost at two points.
(i)
{b,c,e}
(ii)
{c,d}
(iii)
{a,d,e}
(iv)
{b,a,d}
(v)
{b,a}
Question
16
16.
The major sector of the circle is
(i)
JEGFJ
(ii)
EGF
(iii)
EGFIE
(iv)
EHF
(v)
JEHFJ
Question
17
17.
Which of the following statements are true?
a)
The longest chord of the circle passes through the centre of the circle.
b)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
c)
Equal length chords subtend equal angles at the centre of the circle.
d)
Equal length chords are equidistant from the centre of the circle.
e)
No two chords bisects each other.
(i)
{b,a}
(ii)
{b,e,d}
(iii)
{b,a,c}
(iv)
{e,c}
(v)
{a,c,d}
Question
18
18.
Which of the following figures represent a tangent ?
(i)
fig III
(ii)
fig II
(iii)
fig IV
(iv)
fig V
(v)
fig I
Question
19
19.
The minor arc of the circle is
(i)
CFDGC
(ii)
CED
(iii)
CFD
(iv)
HCEDH
(v)
HCFDH
Question
20
20.
Find the points belonging to the circle
(i)
{Q,P}
(ii)
{R,M}
(iii)
{O,R}
(iv)
{M,P}
(v)
{N,Q}
Question
21
21.
The perimeter of a circle is called
(i)
semi-circle
(ii)
diameter
(iii)
radius
(iv)
circumference
(v)
centre
Question
22
22.
The segment of the circle containing the centre of the circle is called
(i)
circumference
(ii)
major segment
(iii)
centre
(iv)
radius
(v)
segment
Question
23
23.
The major segment of the circle is
(i)
FIG
(ii)
FHGJF
(iii)
FIGJF
(iv)
KFHGK
(v)
KFIGK
Question
24
24.
Which of the following figures represent a diameter ?
(i)
fig V
(ii)
fig III
(iii)
fig IV
(iv)
fig I
(v)
fig II
Question
25
25.
Which of the following statements are true?
a)
A secant has two end points.
b)
A radius is a limiting case of a diameter.
c)
A tangent is the limiting case of a secant.
d)
A diameter is a limiting case of a chord.
e)
A secant and a chord are same.
(i)
{a,c}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{e,a,c}
(v)
{b,d,c}
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (i)
5) (iii)
6) (ii)
7) (ii)
8) (i)
9) (iv)
10) (v)
11) (ii)
12) (iv)
13) (v)
14) (v)
15) (iii)
16) (v)
17) (v)
18) (ii)
19) (ii)
20) (iv)
21) (iv)
22) (ii)
23) (iii)
24) (i)
25) (iii)