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
