The Progressive Teacher Vol 04 Issue 03

Class X: mathematics
Areas Related to Circles
Tick ( ) the correct answer
1. The area of a circle is numerically equal to its
perimeter. The diameter of the circle is
a. 1 unit c. 3 units
b. 2 units d. 4 units
worksheet
Max Marks: 20
9. In the following figure, sector OAPB is cut off
1
from the circle of radius 1 cm. The area of
2
the remaining part of the circle is ⎛ 22
⎜π=
⎞
⎝
⎟
7 ⎠
2. A toy bicycle wheel requires 100 revolutions to move a
distance of 22 m. The radius of the wheel is 22
⎜π
=
⎞
⎝
⎟
a. 7 cm c. 10 cm 7 ⎠
b. 3.5 cm d. 22 cm
a. 11 cm
2
c.
1 2
11 cm
2
2
3. In the following figure, two concentric circles are
b. 11 cm
2
d. None of these
given. If OB= 1 cm and OA = 2 cm, the area of the
7
shaded region is
10. Four cows are tethered at the four corners of a
square plot of side 100 m, so that they can just
reach one another. The area grazed by the four
cows is
a. 10,000 m 2 c. 2500π m 2
b. 625π m 2 d. 7500π m 2
π
a. π cm 2 c. cm
2
2
Match the following:
b. 2π cm 2 π
d.
4 cm2
Column A
Column B
5
πθ r
4. The area of a sector of radius 3 cm is π cm
2
. The
11. Perimeter of a sector of a circle a.
180
angle of the sector is
2
12. Area of a semi-circle b. πr
2
a. 100° c. 60°
4
b. 90° d. 45°
13. Area of a sector of a circle c. πr
5. The perimeter of a sector of radius 5.9 cm is
πθ r
14. Area of a quadrant of a circle
19.4 cm. The length of its arc is
d. + 2r
180
a. 11.8 cm c. 5.9 cm
πr
2
b. 7.6 cm d. 7.8 cm
e. 2
πr
θ
6. In the following figure, ABCD is the diameter of the
f. 360
circle such that AB = BC = CD = a cm. Three semicircles
are drawn with AB, BD and AD as diameters 15. The degree measure of the angle at the centre of a
Fill in the blanks with the correct option.
respectively. The perimeter of the shaded region is quadrant is …………….. (45° / 90°)
16. The ratio of the circumferences of two circles is
4 : 5. The ratio of their areas is …………..(4 : 5 / 16 : 25)
17. The angle through which the minute hand moves from
7 : 30 a.m. to 7 : 55 a.m. is…………………(150 O / 100 O )
a. 2πa cm b. 2πa cm
18. Area of the major segment of a circle = Area of circle –
c. 3πa cm d. 3πa cm
……………(Area of sector / Area of minor segment)
7. ABCD is a square of side 4 cm, inscribed in a circle. 19. The length of the arc of a sector of angle 45 O and
The radius of the circle is
a. 16 cm c. radius 1 cm =…………………… ⎛π
π ⎞
4 2 cm
⎜ cm / cm
b. 8 cm d.
⎝
⎟
8 4 ⎠
2 2 cm
20. Using
8. In the figure given in Q. 7, the area of the shaded
π= 22 , if the perimeter of a semicircular
protractor is 18 cm, then its diameter is
7
region is (π = 3.14)
a. 8.12 cm 2 c. 9.12 cm 2
…………………………. (7 cm /
b. 25.12 cm 2 d. 16 cm 2 cm )
2
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