Areas - Plane Mensuration Flashcards

1
Q

Area of a Square

A= ?

A

A = a²

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2
Q

Area of a Triangle

A= ?

A

A= ½ bh

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3
Q

Area of a Rectangle

A = ?

A

A= bh

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4
Q

Area of a Parallelogram

A= ?

A

A=bh

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5
Q

Area of an equilateral triangle

A= ?

A

√3
A= ——— a²
4

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6
Q

Area of a Scalene Triangle

A= ?

A

A= √ s (s-a)(s-b)(s-c)

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7
Q

Area of a Pentagon

A=?

A

A= ¼ √ 5(5+2√5) x a²

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8
Q

Area of Hexagon
A=?

A

3√3
A= ——— a²
2

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9
Q

Area of heptagon
A=?

A

7 180
A = —— a² cot ( ——— )
4 7

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10
Q

Area of Octagon
A=?

A

A = 2 (1+√2) a²

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11
Q

Area of Nonagon
A= ?

A

9
A = —— a² cot 20°
4

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12
Q

Area of Decagon
A= ?

A

5
A = —— a² √ 5 + 2√5
2

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13
Q

Area of Hendecagon
A =?

A

11 180
A= —— a² cot (———)
4 11

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14
Q

Area of Dodecagon
A=?

A

A= 3 a² (2 + √3)

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15
Q

Area of a Rhombus
A = ?

A

D1 + d2
A = ——————
2

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16
Q

Diagonal of a Rectangle

A

D= √ a² + b²

17
Q

Side of a Rhombus

A

1
S = —— √ d1² + d2²
2

18
Q

Area of Trapezium

A

1
A= —— h (a + b)
2

19
Q

Area of a Circle

A

A = π r²

20
Q

Area of a Semi-circle

A

1
A = —— π r²
2

21
Q

Area of Sector of a Circle

A


A = (———) x 2π r²
360 °

22
Q

Area of the segment of a Circle (sector)

A

1
A = —— r² ∅
2

23
Q

Area of Rectangular Parallelepiped

A

Total A = 2 (ab + bc + ac)