Download Geometry A Formula Sheet Perimeter: P = 2l + 2w or P = 2(l + w

102714 Geometry A Formula Sheet
Perimeter: P = 2l + 2w or P = 2(l + w)
Circumference: C = 2πr or C = πd
Pythagorean Theorem: a 2 + b 2 = c 2
Pi (π) ≈ 3.14 or ≈
Distance Formula: d =
( x2 ! x1 )2 + ( y2 ! y1 )2
22
7
"y !y %
Slope of a line: m = $ 2 1 '
# x2 ! x1 &
! x + x2 y1 + y2 $
,
Midpoint Formula: # 1
&
" 2
2 %
Quadratic Formula: x =
Standard Form of an Equation: Ax + By
Point-Slope Form of an Equation: y ! y1 = m ( x ! x1 )
Simple Interest Formula: I = prt
Slope-Intercept Form of an Equation: y = mx + b
!b ± b 2 ! 4ac
2a
When the vertex of an angle is outside of the circle, the measure of the angle
formed is half of the difference of the intercepted arcs
Special Circle Angles
Vertical angles and their intercepted arcs: half of the sum of the arc measures is
the measure of the angle
Area
Surface Area
Rectangle: A = lw or A = bh
1
bh
2
1
Trapezoid: A = (b1 + b2 )h
2
1
Regular Polygon: A = aP
2
2
Circle: A = ! r
Triangle: A =
Sector of a Circle: A =
m of arc
• !r2
360°
Volume
Prism or cylinder: V = Bh
Pyramid or cone: V =
Sphere: V =
4 3
!r
3
1
Bh
3
Cube: SA = 6s 2
Cylinder (lateral): SA = 2πrh
Cylinder (total): SA = 2! rh + 2! r 2 or SA = 2πr(h + r)
Cone (lateral): SA = πrl
Cone (total): SA = ! rl + ! r 2
Sphere: SA = 4! r 2
Trigonometry (Right Triangles)
opposite side
sin(!B) =
hypotenuse
adjacent side
cos(!B) =
hypotenuse
opposite side
tan(!B) =
adjacent side
The University of Texas at Austin
K-16 Education Center