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Formulas to calculate area in various surfaces and shapes
Typology: Cheat Sheet
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Area =Perimeter = 2 + 2
lw
l^
w
w
l
Area =
bh
b
h
h
b
Area =
bh
r^
Area =Circumference = 2
r
r
2
a
b
c
2
2
2
b
a c
Area = –
12
h b
b
1
2
b
1 b
2
h
Volume =Surface Area = 6
s
s
(^2)
3
h
rr
Volume =Surface Area = 2
Lateral Area = 2
r h
r^
rh
rh
2
2
DISTANCE BETWEENTWO POINTS:SUM OF INTERIOR ANGLESOF AN
-SIDED POLYGON: n
d=
x
x
y
y
2
1
2
2
1
2
n –
MID-POINT BETWEENTWO POINTS:
x
x
1
2 +^2
y
y 1
2 +^2
Volume =
r^
3
Surface Area = 4
r^
2
rr
Volume = base area ×
h
Surface Area = base areas + face areas
l
w
h
Volume =Surface Area = 2
wh
w
h
wh
l^
l^
l
Lateral Area = 2( +
l^
w h
Lateral Area = sum of face areas
Lateral Area =
rs
Volume = – × base area ×
13
h
Surface Area = base area + face areas
h
Volume = –
13
r h 2
Surface Area =
r^
rs
2
s
h
r
Arc Length =
circumference × central angle
Sector Area =
total area × central angle
r
central
angle
sin
12
ab
Law of cosines:
(cos
b
a
c
ac
2
2
2
Law of sines:
a sin
b sin
c sin
a
b
c
h