Flashcards in Shapes Deck (26)

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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