Mensuration/ Geometry Flashcards

1
Q

Area of a rectangle

A

length * base

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2
Q

Area of a trapezium

A

1/2(a+b)h

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3
Q

Area of a triangle

A

1/2 (base * height)

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4
Q

Area of a parallelogram

A

A = base * height

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5
Q

Circumference of a circle

A

π * diameter

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6
Q

Area of a circle

A

π * r²

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7
Q

Diameter of a circle

A

2 * radius

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8
Q

Area of a sector (of a circle (like a slice))

A

a/360 * πr²

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9
Q

Lenght of an arc

A

a/360 * πD

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10
Q

Cylinder, Surface Area

A

Curved Surface Area

π * 2r * h

Total Surface Area

(π * 2r * h) + (2 * π * r²)

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11
Q

Sector

A

Area in a circle enclosed by two radii

eg. a pie slice.

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12
Q

Segment

A

An area of a circle enclosed by a chord and an arc.

(As if someones sliced off the edge of a pie)

(work out area by working out the triangle of the sector and minusing)

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13
Q

Arc

A

Segment of the circumference of a circle

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14
Q

Two angles opposite each other in an ‘x’

A

Vertically opposite

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15
Q

Two angles on same side of line intersecting a parallel pair of lines. (forms an ‘F’ shape)

A

Corresponding angles

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16
Q

‘Z’ shaped angles, Opposite angles formed by an intersecting line of two parallel lines.

A

Alternate angles

17
Q

Exterior angle formula

A

360/ number of sides of the polygon

eg. 360/3 = 180

18
Q

Interior angle formula

A

(n - 2) * 180 = Sum of the interior angles

n = number of sides

((n-2)*180) / n = 1 interior angle

19
Q

Congruent

A

Identical

20
Q

Similar

A

The shapes have the same ‘shape’ + interior angles. (Probably just enlarged or diminished)

21
Q

Scale factor

A

Number by which a line gets multiplied to enlarge/ diminish.

New line/ Original line

22
Q

Linear vs Area vs Volume scale factor

A

Linear = linear sf.

Area = [linear sf]²

Volume = [linear sf]³

23
Q

Pythagoras

A

a² + b² = c²