Shapes Flashcards

(26 cards)

1
Q

what is a sector?

A

a region bounded by an arc and two radii

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2
Q

how do you find the perimeter of a sector?

A

arc length + 2r

Ө/360 x 2πr + 2r

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3
Q

how do you work out the arc length?

A

Ө/360 x 2πr

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4
Q

how do you work out the area of a sector?

A

Ө/360 x πr²

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5
Q

how do you work out the volume of a prism?

A

area of cross-section x length

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6
Q

how do you work out the volume of a cuboid?

A

height x width x length

hwl

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7
Q

how do you work out the volume of a triangular prism?

A

base x height/2 x length

bh/2 x l

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8
Q

how do you work out the volume of a kite prism?

A

width x height/2 x length

wh/2 x l

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9
Q

how do you work out the volume of a trapezoidal prism?

A

shorter top side +longer bottom side/2 x height x length

a+b/2 x h x l

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10
Q

how do you work out the volume of a cylinder?

A

πr² x l

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11
Q

how do you work out the surface area of a closed cylinder?

A

area of rectangle = length x width (width = circumference of circle)
the width of circumference = πd
the area of the circle = πr²
sa = 2πr² + πd x length

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12
Q

how do you work out the surface area of an open cylinder?

A

πr² + πd x length

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13
Q

what is the difference between an open and closed cylinder?

A

open cylinder = one circle

closed cylinder = two circles

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14
Q

what is the curved surface area of a cone?

A

π x radius x length (slopping height)

πr x l

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15
Q

what is the area of a circle?

A

πr²

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16
Q

how do you find l (the slopping height)?

A

pythagoras’ theorum

17
Q

what is pythagoras’ theorum

A

a² + b² = c²

18
Q

what is the surface area of a cone?

19
Q

what is the volume of a cone?

A

1/3x πr² x height

1/3x πr² x h

20
Q

what are some pythagorian triples?

A

3, 4, 5

5, 12, 13

21
Q

how do you work out the volume of a sphere?

22
Q

how do you work out the surface area of a sphere?

23
Q

how do you work out the volume of a hemisphere?

24
Q

how do you work out the surface area of a hemisphere?

25
how do you work out the volume of a pyramid?
1/3 of base area x vertical height
26
how do you work out the curved surface area of a cylinder?
2πr x h