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1

what is a sector?

a region bounded by an arc and two radii

2

how do you find the perimeter of a sector?

arc length + 2r
Ө/360 x 2πr + 2r

3

how do you work out the arc length?

Ө/360 x 2πr

4

how do you work out the area of a sector?

Ө/360 x πr²

5

how do you work out the volume of a prism?

area of cross-section x length

6

how do you work out the volume of a cuboid?

height x width x length
hwl

7

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

base x height/2 x length
bh/2 x l

8

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

width x height/2 x length
wh/2 x l

9

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

shorter top side +longer bottom side/2 x height x length
a+b/2 x h x l

10

how do you work out the volume of a cylinder?

πr² x l

11

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

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

12

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

πr² + πd x length

13

what is the difference between an open and closed cylinder?

open cylinder = one circle
closed cylinder = two circles

14

what is the curved surface area of a cone?

π x radius x length (slopping height)
πr x l

15

what is the area of a circle?

πr²

16

how do you find l (the slopping height)?

pythagoras' theorum

17

what is pythagoras' theorum

a² + b² = c²

18

what is the surface area of a cone?

πrl + πr²

19

what is the volume of a cone?

1/3x πr² x height
1/3x πr² x h

20

what are some pythagorian triples?

3, 4, 5
5, 12, 13

21

how do you work out the volume of a sphere?

4/3 x πr³

22

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

4πr²

23

how do you work out the volume of a hemisphere?

2/3 x πr³

24

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

3πr²

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