AP 8th Class Maths Bits Chapter 9 Area of Plane Figures with Answers

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AP State Syllabus 8th Class Maths Bits 9th Lesson Area of Plane Figures with Answers

Choose the correct answer.

Question 1.
π = ……………….
A) \(\frac{22}{9}\)
B) \(\frac{22}{7}\)
C) \(\frac{21}{91}\)
D) \(\frac{22}{3}\)
Answer:
B) \(\frac{22}{7}\)

Question 2.
Circumference of circle = …………………
A) 2πr
B) πr
C) \(\frac{\pi \mathrm{r}}{2}\)
D) πr²
Answer:
A) 2πr

Question 3.
Each exterior angle of an equilateral triangle is …………….
A) 70°
B) 60°
C) 100°
D) 120°
Answer:
D) 120°

Question 4.
Number of diagonals in a Quadrilateral is ………………
A) 2
B) 4
C) 3
D) 1
Answer:
A) 2

Question 5.
Area of Trapezium =
A) \(\frac {1}{2}\) (a + b)
B) \(\frac {1}{2}\) h (a + b)
C) \(\frac{a+b}{4}\)
D) \(\frac {1}{4}\) h (a + b)
Answer:
B) \(\frac {1}{2}\) h (a + b)

Question 6.
Area of circle = ………………….
A) πr
B) 2πr
C) πr₂
D) \(\frac{\pi \mathrm{r}}{2}\)
Answer:
C) πr₂

Question 7.
Perimeter of Semi circle is …………………
A) πr₂
B) \(\frac{\pi}{\mathrm{r}}\)
C) r + π
D) πr
Answer:
D) πr

Question 8.
Area of sector is ………………..
A) lr
B) \(\frac{l \mathbf{r}}{2}\)
C) \(\frac{l+r}{2}\)
D) \(\frac{l}{2}\)
Answer:
C) \(\frac{l+r}{2}\)

Question 9.
Central angle of circle is ………………..
A) 160°
B) 300°
C) 360°
D) 180°
Answer:
C) 360°

Question 10.
Diameter of a circle is 8.2 cm then its radius is ……………. cm
A) 4.5
B) 5.4
C) 4.1
D) 3.2
Answer:
C) 4.1

Question 11.
Sum of the angles in a triangle is ………………..
A) 130°
B) 170°
C) 160°
D) 180°
Answer:
D) 180°

Question 12.
Side of a square is 7 cm then its area is ………………. cm²
A) 49
B) 60
C) 80
D) 94
Answer:
A) 49

Question 13.
Area of the triangle is ……………..
A) a + b
B) \(\frac {1}{2}\) b + h
C) \(\frac {1}{2}\) bh
D) bh
Answer:
C) \(\frac {1}{2}\) bh

Question 14.
Area of parallelogram is ………………..
A) bh
B ) \(\frac {1}{2}\) bh
C) \(\frac {1}{2}\) a + b
D) \(\frac{\mathrm{ab}}{4}\)
Answer:
A) bh

Question 15.
Number of triangles in the figure is …………………
A) 7
B) 2
C) 4
D) 3
Answer:
D) 3

Question 16.
Number of rectangles in the figure is …………………
A) 3
B) 4
C) 5
D) 6
Answer:
A) 3

Question 17.
Number of Trapeziums in the figure is ………………….
A) 6
B) 2
C) 4
D) 3
Answer:
B) 2

Question 18.
In a circle d = 28 cm then A = ……………… cm²
A) 216
B) 161
C) 606
D) 616
Answer:
D) 616

Question 19.
In the given figure area of Δ ABC = 10 cm² then area of parallelogram is ………………… cm²

A) 60
B) 20
C) 80
D) 40
Answer:
B) 20

Question 20.
In a Quadrilateral d = 6 cm, h₁ = 5 cm, h₂ = 3 cm then A = ……………….. cm²
A) 16
B) 18
C) 24
D) 19
Answer:
C) 24

Question 21.
Area of Rhombus is ………………….
A) \(\frac{1}{2}\) d₁ d₂
B) \(\frac{\mathrm{d}_{1} \mathrm{~d}_{2}}{4}\)
C) \(\frac{1}{2}\) d₁ \(\frac{\mathrm{d}_{2}}{3}\)
D) d₁² . d₂²
Answer:
A) \(\frac{1}{2}\) d₁ d₂

Question 22.
In the given figure area of Δ ABC = ………………… cm²

A) 12
B) 6
C) 11
D) 7
Answer:
B) 6

Question 23.
In a Rectangle l = 20 cm, b = 14 cm then A = ……………….. cm²
A) 150
B) 170
C) 180
D) 280
Answer:
D) 280

Question 24.
Area of sector = ………………
A) \(\) πr²
B) \(\) × 2 π r
C) \(\) × 3 π r
D) \(\) × πr²
Answer:
A) \(\) πr²

Question 25.
Area of square is 1225 cm² then its side is ……………… cm
A) 25
B) 15
C) 45
D) 35
Answer:
D) 35

Question 26.
Area of adjacent figure is……………….. cm²

A) 64
B) 84
C) 74
D) 93
Answer:
A) 64

Question 27.
Area of parallelogram is 50 cm² and a diagonal is drawn to it, then the area of triangle so formed is cm²
A) 19
B) 16
C) 25
D) 15
Answer:
C) 25

Question 28.
In the figure area of Right angle triangle ABC = ………………… cm²

A)10
B) 8
C) 12
D) 6
Answer:
D) 6

Question 29.
Diagonals of a Rhombus are 6 cm and 7 cm then area = ……………… cm²
A) 19
B) 16
C) 13
D) 21
Answer:
D) 21

Question 30.
Which of the following figure represents a sector ?

Answer:

Question 31.
In a circle r = 14 cm then area of Quadrant circle is ………………… cm²
A) 164
B) 154
C) 110
D) 150
Answer:
B) 154

Question 32.
Area of ring is ……………… cm²
A) π (R – r)
B) π (R + r)
C) π (R² – r²)
D) π R² – r²
Answer:
C) π (R² – r²)

Question 33.
Which of the following figure represents concentric circles ?

Answer:

Question 34.
Length of arc of a sector is 16 cm and radius of a circle is 7 cm then area of sector is …………….. cm²
A) 56
B) 46
C) 16
D) 36
Answer:
A) 56

Question 35.
Length of arc of a sector is …………………
A) \(\frac{\mathrm{x}^{\circ}}{360^{\circ}}\) × 2 π r
B) \(\frac{\mathrm{x}^{\circ}}{360^{\circ}}\) × π r
C) \(\frac{\mathrm{x}^{\circ}}{180^{\circ}}\) × π r²
D) None
Answer:
A) \(\frac{\mathrm{x}^{\circ}}{360^{\circ}}\) × 2 π r

Question 36.
In a triangle b = 5 cm, h = 10 cm then area is ……………. cm²
A) 19
B) 15
C) 25
D) 20
Answer:
C) 25

Question 37.
In a Rhombus the diagonals are 2a and 4b unite then its area is …………….. square unite.
A) 2ab
B) 4ab
C) 3ab
D) ab
Answer:
B) 4ab

Question 38.
In a circle d = 7 cm then its area is …………….. cm²
A) 10
B) 6
C) 18
D) None
Answer:
D) None

Question 39.
In a Ring the radii of outer and inner are 15 cm and 8 cm then the width is ……………….. cm
A) 7
B) 3
C) 6
D) 1
Answer:
A) 7

Question 40.
c : d = ……………………
A) 180°
B) \(\frac{\pi}{2}\)
C) π
D) 90°
Answer:
C) π

Question 41.
The side of an equilateral triangle is ‘a’ units then its area is ……………. square units.
A) \(\frac{\sqrt{3}}{4}\) a²
B) \(\frac{\sqrt{3}}{2}\) a
C) \(\frac{\sqrt{3}}{7}\) a²
D) \(\frac{\sqrt{3}}{6}\) a²
Answer:
A) \(\frac{\sqrt{3}}{4}\) a²

Question 42.
The side of an equilateral triangle is’a’ units then its height is ……………….. units.
A) \(\frac{\sqrt{3}}{4}\) a
B) \(\frac{\sqrt{3}}{2}\) a
C) \(\frac{\sqrt{3}}{4}\) a²
D) \(\frac{2}{\sqrt{3}}\) a
Answer:
B) \(\frac{\sqrt{3}}{2}\) a

Question 43.
The area of adjacent figure is ……………….. cm²

A) 213
B) 103
C) 252
D) 203
Answer:
C) 252

Question 44.
Diagonal of a square is 9√3 cm then its area is ……………….. cm²
A) 90
B) 70
C) 37
D) 81
Answer:
D) 81

Question 45.
In the given figure there are two semicircles. Radius of big semicircle is 42 cm then the area of shaded portion is ………………… cm²

A) 300.5
B) 900.3
C) 346.5
D) 841.5
Answer:
C) 346.5

Question 46.
Diagonal of a square is 2.8 cm then its area is …………………. cm².
A) 2.95
B) 3.92
C) 8.9
D) 5.3
Answer:
B) 3.92

Question 47.
1 cm² = ……………………… mm²
A) 10
B) 2,000
C) 1,000
D) 100
Answer:
D) 100

Question 48.
1 hectare = ………………….. m².
A) 10,000
B) 2,000
C) 3,000
D) 1,000
Answer:
A) 10,000

Question 49.
Area of triangle = 600 cm², height =15 cm then base = ………………… cm.
A) 19
B) 16
C) 80
D) 10
Answer:
C) 80

Question 50.
Area of triangle is 120 cm² and its base is 15 cm then its height is ………………. cm.
A) 16
B) 26
C) 36
D) 10
Answer:
A) 16

Question 51.
Area of Rhombus is 96 cm² and its diagonal is 16 cm then its height is
………………….. cm
A) 60
B) 40
C) 70
D) 30
Answer:
B) 40

Question 52.
In a parallelogram the base is double the height and the area is 512 cm² then its base is …………………… cm
A) 19
B) 13
C) 16
D) 32
Answer:
D) 32

Question 53.
In the above problem height = ……………….. cm
A) 19
B) 16
C) 23
D) 11
Answer:
B) 16

Question 54.
Perimeter of a Rhombus is 56 cm then the length of its side is ……………. cm.
A) 17
B) 16
C) 23
D) 19
Answer:
A) 17

Question 55.
Radius of a circle is 4.9 cm then its area is ………………. cm².
A) 64.35
B) 95.35
C) 75.46
D) 15.46
Answer:
C) 75.46

Question 56.
Area of one circle is 100 times the area of other circle then the ratio of their circumferences is ………………….
A) 1:2
B) 10:1
C) 1:20
D) 30:29
Answer:
B) 10:1

Question 57.
In the adjacent figure area of unshaded partis ………………… m².

A) 6324
B) 5784
C) 8126
D) 1199
Answer:
B) 5784

Question 58.
The area of adjacent Quadrilateral is ……………… cm².

A) 35
B) 16
C) 80
D) 55
Answer:
D) 55

Question 59.
The area of adjacent Trapezium is ………….. cm².

A) 45
B) 50
C) 60
D) 70
Answer:
A) 45

Question 60.
Area of circle is 616 cm² then its circumference is ………………… cm
A) 88
B) 10
C) 19
D) 81
Answer:
A) 88

Question 61.
The area of shaded region in the adjacent figure is ………………..cm²

A) 104
B) 114
C) 154
D) 164
Answer:
C) 154

Question 62.
Circumference of circle is 264 cm then its area is …………………. cm²
A) 1936
B) 5544
C) 1543
D) 1980
Answer:
B) 5544

Question 63.
The height of an equilateral triangle is √6 cm then its area is ……………….. cm².
A) 2√3
B) 3√2
C) 10√3
D) 9√2
Answer:
A) 2√3

Question 64.
Area of square is 200 cm² then its diagonal is ………………. cm.
A) 80
B) 30
C) 20
D) 10
Answer:
C) 20

Question 65.
The difference of a circumference of a circle and the radius is 37 cm then its area is ………………. cm².
A) 111
B) 160
C) 145
D) 154
Answer:
D) 154

Question 66.
Area of circle is 1386 cm² then its circumference is ……………… cm.
A) 123
B) 169
C) 132
D) 119
Answer:
C) 132

Question 67.
Area of rectangle is 100 cm², length is 20 cm then its breadth = ……………….. cm.
A) 16
B) 9
C) 10
D) 5
Answer:
D) 5

Question 68.
The side of a square is 9 cm then its perimeter is ……………….. cm.
A) 32
B) 10
C) 36
D) 16
Answer:
C) 36

Question 69.
Diagonal of a rectangle is ………………
A) \(\sqrt{l^{2}+b^{2}}\)
B) l + √b
C) √l + b
D) l + b
Answer:
A) \(\sqrt{l^{2}+b^{2}}\)

Question 70.
In the adjacent figure x = …………………. cm

A) 7
B) 10
C) 13
D) 11
Answer:
A) 7