Workshop Calculation and Science

2nd Year

Module 3 - Area of cut out regular Surfaces and Irregular

1: Which formula is suitable for the area of a circle, whose diameter is (d)?
A : πd² / 4
B : πr
C : 2πr
D : πd

2: What is the circumference of a semi circle?

A : πr + 2r
B : πd / 4
C : 2πr²
D : πd² / 4

3: What is the area of irregular shape by simpsonʹs is rule?

A : h/3 [y₁+y₇+4 (y₂+y₄+y₆)+2(y₃+y₅]
B : h/2 [y1 + y7]
C : h/3 [y₂+y₄+y₆]
D : h/2 [y₁ = y₇+(y+y₅)]

4: What is the name called biggest chord of the circle?
A : Arc

B : Diameter
C : Radius
D : Diagonal

5: What is the formula for circumference of a circle?
A : πr²
B : πd² / 4

C : 2πr
D : πr

6: What is the formula for area of the semi circle?
A : πr²
B : 2πr
C : πr

D : πd² / 2

7: What is the formula for area of the circle?
A : πd² / 2

B : πr²
C : 2πr
D : πd / 2

8: What is the area of the irregular surface?
A : 1400 mm²
B : 1450 mm²

C : 1500 mm²
D : 1200 mm²

 

 

 

 

 

 

 

 

 

 

 

 

 



9: What is the area of the shaded portion, Equilateral Triangle side is 6cm and circle radius is 1.5cm?
A : 8.52 cm²
B : 12.75 cm²
C : 9.5 cm²
D : 12.25 cm²

10: What is the area of the irregular surfaces?
A : 2500 mm²

B : 3544 mm²
C : 3250 mm²
D : 3444 mm²

11: What is the area of the irregular surfaces?
A : 4800 mm²
B : 4820 mm²
C : 4830 mm²

D : 4843 mm²

12: What is the area of irregular surfaces?
A : 1350 mm²
B : 1175 mm²

C : 1150 mm²
D : 1250 mm²

13: What is the length of arc of a sector, whose perimeter is 64.8cm and radius is 12.4 cm?

A : 40 cm
B : 45 cm
C : 40.8 cm
D : 42 cm

14: What is the length of arc of the sector whose radius is 15 cm and the intended angle is 30°?

A : 7.85 cm
B : 7.25 cm
C : 6.75 cm
D : 6.85 cm

 

 

 

 

 

 

 

 

 

 

 

 

 


15: What is the area of the sector, if the diameter is 12 cm and the angle is 60°?
A : 18.0 cm²
B : 17.75 cm²
C : 19.00 cm²

D : 18.84 cm²

16: What is the formula for area of the segment of a circle?
A : Area of the sector - Area of the triangle
B : Area of the circle
C : Area of the sector
D : Area of the triangle - Area of the sector

17: What is the area of the circle, if the circumference of the circle is 44cm?
A : 128 cm²
B : 130 cm²

C : 154 cm²
D : 129 cm²

18: What is the area of the irregular surfaces?
A : 2600 unit²
B : 2590 unit²
C : 2625 unit²

D : 2620 unit²

19: What is the area of the irregular surfaces?
A : 4200
B : $4300.00

C : $4500.00
D : 4400

20: What is the radius of the circle if the angle of sector is 90° and the area of the circle is 196 cm2?

A : 15.77 cm
B : 15 cm
C : 14.85 cm
D : 14.95 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 



21: What is the formula for perimeter of a sector?
A : 2l + r

B : l + 2r
C : πr²
D : 2πr

22: What is the area of conical object?
A : 5100 mm²
B : 5120 mm²
C : 5125 mm²

D : 5158.8 mm²

23: What is the area of the lamina?
A : 14,800 mm²

B : 14,600 mm²
C : 14,650 mm²
D : 14,750 mm²

24: What is the area of the sector, whose diameter is 40 mm and angle is 120°?

A : 418.66 mm²
B : 400.50 mm²
C : 415.5 mm²
D : 416.6 mm²

25: What is the length of arc of a sector, whose radius is 15 cm and angle is 40°?
A : 9.75 cm
B : 9.8 cm
C : 10.60 cm

D : 10.4 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



26: What is the length of arc of a sector whose radius is 3.6 cm and angle is 36°?
A : 2.10 cm

B : 2.26 cm
C : 22.6 cm
D : 21.0 cm

27: What is the area of the surface?
A : 1750 mm²
B : 1775 mm²
C : 1805 mm²

D : 2600 mm²

28: What is the name of the shaded portion?
A : Segment
B : Sector
C : Arc
D : Chord

29: Which line is called as chord?
A : ED

B : AB
C : OD
D : OE

30: What is the area of the circle, whose diameter is 50 cm?
A : 1900 cm²
B : 1950 cm²

C : 1962.5 cm²
D : 1960 cm²

31: What is the name of the region of a circle between any two point on the circumference?
A : Arc

B : Segment
C : Sector
D : Chord

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



32: What is the radius of the circle, whose circumference is 440 cm?
A : 71.5 cm

B : 70 cm
C : 70.5 cm
D : 72.2 cm

33: What is the area of a circular surface if the radius is 14 cm?

A : 615.44 cm²
B : 614.5 cm²
C : 612.25 cm²
D : 612.44 cm²

34: What is the circumference of a circle whose diameter is 7 cm?

A : 22 cm
B : 44 cm
C : 25 cm
D : 21 cm

35: What is the radius of a circle whose diameter is 44 cm?
A : 44 cm

B : 22 cm
C : 23 cm
D : 20 cm

36: What is the diameter of the circle, if the area of the circle is 78.5cm²?
A : 5 cm

B : 10 cm
C : 15 cm
D : 5.5 cm

37: What is the area of the circle if the radius is 10 cm?

A : 314 cm²
B : 31.4 cm²
C : 30.4 cm²
D : 3.14 cm²

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



38: What is the radius of the semicircle, if the circumference of the semicircle is 28.26 cm?
A : 5.49 cm
B : 6.49 cm
C : 8.5 cm
D : 8.75 cm

39: What is the diameter of the semicircle, if the circumference of the semicircle is 21.98 cm?
A : 8.55 cm
B : 8 cm

C : 7.55 cm
D : 7 cm

40: What is the area of the semicircle, if the diameter is 14 cm?
A : 70 cm²

B : 76.93 cm²
C : 75.06 cm²
D : 86.93 cm²

41: What is the diameter of the circle, if the area of the circle is 706.5cm²?
A : 29 cm
B : 29.5 cm

C : 30 cm
D : 30.5 cm

42: What is the diameter of the circle, if the circumference is 31.4 cm?
A : 5 cm

B : 10 cm
C : 8 cm
D : 8.5 cm

43: What is the area of the lamina?
A : 1470.55

B : 1473.66
C : 1472
D : 1472.5

44: What is the area of the irregular lamina?
A : 550 cm²

B : 549.76 cm²
C : 560 cm²
D : 555 cm²

45: What is the area of the lamina?
A : 125.5 cm²
B : 120.5 cm²

C : 127.5 cm²
D : 126.5 cm²

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


46: What is the area of irregular surfaces?
A : 27,475 mm²
B : 27,500 mm²
C : 27,350 mm²
D : 26,500 mm²

47: What is the area of shaded portion whose OD = 38 mm, ID = 32 mm?
A : 325.4 mm²

B : 329.7 mm²
C : 305.5 mm²
D : 320.5 mm²

48: What is the area of irregular surfaces whose equilateral triangle size is 20 mm?
A : 3000 mm²
B : 3080 mm²

C : 3026.8 mm²
D : 3060 mm²

49: What is the area of shaded portion.
Whose square size 300mm?
A : 58,000 mm²
B : 58,400 mm²
C : 59,000 mm²

D : 58,600 mm²

50: What is the area of shaded portion?
A : 1000 mm²
B : 1500 mm²
C : 1100 mm²

D : 1075 mm²