Act Formula Sheet
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1
2
3ACT
F ormula
S heet
D istance
F ormula
Square
Rectangle
2
√(
2
2
x
-x
)
+
(y
-y
)
2
1
2
1
2
2
Equation
o f
a
C ircle
A rea
=
b
•
h
(x-‐h)
+
( y-‐ k )
=
r
2
2
2
4
=
2
•
2
=
4
Area
=
b
•
h
where
( h,k)
i s
t he
o rigin
=
2
•
4
=
8
Perimeter
=
2 (b)
+
2 (h)
(or
c enter)
o f
t he
c ircle,
r
=
2 (2)
+
2 (2)
is
t he
r adius
a nd
( x,y)
i s
Perimeter
=
2 (b)
+
2 (h)
=
8
any
p oint
o n
t he
c ircle.
=
2 (2)
+
2 (4)
= 12
Trapezoid
Equation
o f
a
L ine
6
Circle
y
=
m x
+
b
360
i n
°
9
a
c ircle
where
( x,
y )
i s
a ny
p oint
o n
6
the
l ine,
m
i s
t he
s lope
a nd
1 0
b
i s
t he
y -‐intercept
!
Slope
o f
a
L ine
Area
=
r
Area
=
h (b
+
b
)
2
1
2
∏
!
y
–
y
= 36
2
1
∏
!
Circumference
=
2
r
=
(9)(6
+
1 0)
∏
!
x
–
x
=
2
(6)
2
1
∏
=
1 2
=
7 2
∏
The
M idpoint
F ormula
Parallelogram
Triangle
1 80°
i n
a
c
t riangle
3.5
3
a
4
Area
=
b
•
h
Pythagorean
T heorem
=
3
•
4
=
1 2
a
+
b
=
c
2
2
2
!
11
Area
=
b
•
h
4
!
!
=
(4
•
7 )
!
7
=
1 4
Perimeter
=
a
+
b
+
c
=
4
+
7
+
1 1
=
2 2
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