#### T2 - Measurements

7th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 Hrs
Total Marks : 60

Part - A

5 x 1 = 5
1. Formula used to find the circumference of a circle is

(a)

2πr units

(b)

πr2 + 2r units

(c)

πr2 sq. units

(d)

πr3 cu. units

2. In the formula, C = 2πr, ‘r’ refers to

(a)

circumference

(b)

area

(c)

rotation

(d)

3. If the circumference of a circle is 82π , then the value of ‘r’ is

(a)

41 cm

(b)

82 cm

(c)

21 cm

(d)

20 cm

4. Circumference of a circle is always

(a)

three times of its diameter

(b)

more than three times of its diameter

(c)

less than three times of its diameter

(d)

5. The formula used to find the area of the circle is ________ sq.units.

(a)

4πr2

(b)

πr2

(c)

2πr2

(d)

πr2 + 2r

6. Part - B

15 x 2 = 30
7. Diameters of different circles are given below. Find their circumference (Take π =$\frac { 22 }{ 7 }$).
d = 70 cm

8. Diameters of different circles are given below. Find their circumference (Take π =$\frac { 22 }{ 7 }$).
d = 56 m

9. Diameters of different circles are given below. Find their circumference (Take π =$\frac { 22 }{ 7 }$).
d = 28 mm

10. Find the circumference of the circles whose radii are given below.
49 cm

11. The diameter of a circular well is 4.2 m. What is its circumference?

12. The diameter of the bullock cart wheel is 1.4 m. Find the distance covered by it in 150 rotations?

13. A ground is in the form of a circle whose diameter is 350 m. An athlete makes 4 revolutions. Find the distance covered by the athlete.

14. A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?

15. A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of Rs.150 per metre. Find the cost of fencing?

16. Find the area of the dining table whose diameter is 105 cm.

17. Calculate the area of the shotput circle whose radius is 2.135 m.

18. A sprinkler placed at the centre of a flower garden sprays water covering a circular area. If the area watered is 1386 cm2, find its radius and diameter.

19. The circumference of a circular park is 352 m. Find the area of the park.

20. In a grass land, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze.

21. Find the length of the rope by which a bull must be tethered in order that it may be able to graze an area of 2464 m2.

22. Part - C

5 x 3 = 15
23. Calculate the circumference of the bangle shown in Fig. 2.5 (Take p = 3.14 ).

24. What is the circumference of the circular disc of radius 14 cm? (use $\pi =\frac { 22 }{ 7 }$)

25. If the circumference of the circle is 132 m. Then calculate the radius and diameter (Take $\pi =\frac { 22 }{ 7 }$).

26. What is the distance travelled by the tip of the seconds hand of a clock in 1 minute, if the length of the hand is 56 mm (use $\pi =\frac { 22 }{ 7 }$).

27. The radius of a tractor wheel is 77 cm. Calculate the distance covered by it in 35 rotations? (use $\pi =\frac { 22 }{ 7 }$)

28. Part - D

5 x 5 = 25
29. Find the area of the circle of radius 21 cm (Use π=3.14).

30. Find the area of a hula loop whose diameter is 28 cm (use $\pi =\frac { 22 }{ 7 }$).

31. The area of the circular region is 2464 cm2. Find its radius and diameter. (use $\pi =\frac { 22 }{ 7 }$).

32. A gardener walks around a circular park of distance 154 m. If he wants to level the park at the rate of Rs.25 per sq.m, how much amount will he need? (use $\pi =\frac { 22 }{ 7 }$)

33. Find the length of the rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq.m ((use $\pi =\frac { 22 }{ 7 }$)