Geometry 3 Flashcards

1
Q

How do you calculate the perimeter of a compound shape?

A

Add together the lengths of all sides

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2
Q

How do you find the circumference of a circle?

A

circumference = π d

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3
Q

How do you find the area of a square?

A

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4
Q

How do you find the area of a rectangle?

A

LxW

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5
Q

How do you find the area of a triangle?

A

B x PH / 2

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6
Q

How do you find the area of a circle?

A

π r²

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7
Q

How do you find the length of an arc?

A

θ/360 x π d

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8
Q

How do you find the area of a sector?

A

θ/360 x π r²

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9
Q

How do you find the perimeter of a sector?

A

length of arc (θ/360 x π d) + 2 straight edges which together = diameter

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10
Q

How do you find the angle of a sector?

A

1) use relevent formula, either length of arc (θ/360 x π d) or area of sector (θ/360 x π r²)
2) fill in known values
3) rearrange equation to find the unknown

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11
Q

How do you find the volume of a cube?

A

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12
Q

How do you find the volume of a cubiod?

A

LxWxH

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13
Q

How do you find the surface area of a cube?

A

6L²

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14
Q

How do you find the surface area of a cuboid?

A

2(LxW + LxH + WxH)

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15
Q

How do you find the volume of a prism?

A

area of end x length/height

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16
Q

How do you find the area of a parallelogram?

A

B x PH

17
Q

How do you find the area of a trapezium?

A

(a+b) / 2 x PH

a and b are the parallel lines at the top and bottom

18
Q

How do you find the volume of a sphere?

A

4/3 π r³

19
Q

How do you find the volume of a hemisphere?

A

2/3 π r³

20
Q

How do you find the surface area of a sphere?

A

4 π r²

21
Q

How do you find the curved surface area of a hemisphere?

A

2 π r²

22
Q

How do you find the surface area of a hemisphere?

A

2 π r² + π r² = 3 π r²

23
Q

How do you find the surface area of a cone?

A

π rL + π r²

24
Q

How do you find the volume of a pyramid?

A

1/3 x area of base x h

25
Q

How do you find the surface area of a pyramid?

A

sum of area of each face