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UIL Calculator Geometry Formulas Flashcards | StudBud
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UIL Calculator Geometry Formulas
UIL Calculator Geometry Formulas
78 terms
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#formulas #geometry #UILcalculator
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Answers
1
tan (A) and/or sin (B)
opposite/adjacent
adjacent/hypotenuse
2πr2
opposite/hypotenuse
2
area using Heron's formula of a circumscribed triangle
1/2(a+b+c)
√s(s-a)(s-b)(s-c)
πr
ab
3
angle of equilateral triangle
45°
60°
75°
30°
4
volume of a sphere
πD2
2πr2
πr3
1/6 π D3
5
volume for right circular cone
√(r2 + h2)
πrs
1/3 πr2h
a sin A
6
area of right or isosceles triangle
abc
2(a+b)
1/2 ab
2πr2
7
spherical surface area of hemisphere
2πrh
4πr2
2/3 πr3
π/2 d2
8
maximum slant height (s) of square-based pyramid
πrs
a tanα /√2
a sin α
h/sinα
9
maximum slant height (s) for right circular cone
4πr2
a sin A
√(r2 + h2)
2πrh
10
surface area of a sphere
4/3 πr3
2πr2
1/6 π D3
4πr2
11
maximum slant height (s) for right circular cone
2πrh
4πr2
r/sinθ
a sin A
12
height of a trapezoid
t sin A
s sin A
a sin A
b sin B
13
Area of a circle
r2
πr2
2πr
2r
14
height of equilateral triangle
√3/2 a
πr2
1/2 ab
a + b + c
15
radius (R) of circumscribed right triangles
3π
a sinB
s-c
c/2
16
radius (r) of inscribed right triangles
a sinB
3π
a+b-c/2
R/2
17
Area of a triangle
1/2 bh
2π
a + b + c
a2 + b2 = c2
18
height of a trapezoid
t sin B
b sin A
s sin A
b sin B
19
radius (r) of inscribed right triangles
R/2
s-c
3π
a sinB
20
lateral surface area for slant or right cylinders of any shape
2πr2
sC
4πr2
2πrh
21
surface area of a sphere
πD2
2πr2
4/3 πr3
1/6 π D3
22
Diameter from Circumference
πD
D2 = C2/4π
2πr
23
sin (A) and/or sin (B)
opposite/hypotenuse
2πr2
opposite/adjacent
adjacent/hypotenuse
24
area of a circle segment (θmust be in radians)
2r sin(θ/2)
πD
2πr2
1/2 r2 (θ - sin θ)
25
total surface area (T) of a square-base pyramid
πrs
a sin α
a2/cosα √(1 + sin2α)
S + a2
26
height of isosceles triangle
a sin C
2πr2
a sin A
1/2 ab
27
Perimeter of parallelogram
ab
2 (a+b)
1/2 ab
4a
28
height of scalene triangle
a cos B
2 (a + b)
b sin A
ab
29
radius (r) of inscribed equilateral triangles
c/2
a +b -2r
(a√3)/6
2π
30
volume of a sphere
πD2
2πr2
1/6 D3
4/3πr3
31
maximum slant height (s) for right circular cone
h/cosθ
a sin A
4πr2
2πrh
32
Diagonal of a rectangle
√(a2+b2)
ab
1/2 ab
2ab
33
area of isosceles triangle
1/2 ab
2πr2
a sin C
1/4 c2 tanA
34
area of isosceles triangle
a sin C
1/2 ch
2πr2
c/2 tanA
35
Circumference of a circle
2r
2d
πr2
2πr
36
volume of hemisphere
π/2 d2
3πr2
2πrh
2/3 πr3
37
volume for slant or right cylinders of any shape
sC
2πrh
sA
sC
38
radius (R) of circumscribed equilateral triangles
(a√3)/3
2π
R/2
a +b -2r
39
radius of circumscribed circle (R) with scalene triangle
abc/4K
a + b - 2r
(a+b-c)/2 tan(C/2)
πr3
40
radius of inscribed circle (r) with scalene triangle
a + b - 2r
R/2
πr3
(a+b-c)/2 tan(C/2)
41
spherical surface area of hemisphere
2πr2
4πr2
2/3 πr3
2πrh
42
half of a triangle's perimeter (s) of a circumscribed triangle
1/2 bh
1/2(a+b+c)
πr
ab
43
Total surface area of hemisphere
3π/4 d2
π/2 d2
2πrh
2πr2
44
radius (r) of inscribed right triangles
a sinB
R/2
3π
R ⟨(a+b-c)/c⟩
45
radius (r) of inscribed equilateral triangles
π/3
a +b -2r
2π
R/2
46
lateral Surface area (S) for right circular cone
2πrh
πrs
a sin A
√(r2 + h2)
47
Diagonal of a square
√(a2+b2)
bh
a√2
1/2 bh
48
height of parallelogram or rhombus
b sin B
a cos B
b cos B
ab sin π
49
law of sines scalene triangle
1/2 bh
1/2 ab
2πr2
sinA/a = sinB/b = sinC/c = sin C´/c
50
right section area (A) for slant or right cylinders of any shape
2πrh
2πr2
4πr2
A´sinθ
51
lateral surface area for slant or right cylinders of any shape
hC/sinθ
2πrh
4πr2
2πr2
52
Diameter of a circle
bh
2(a+b)
2r
2π
53
volume for right circular cylinders
2/3 πr3
1/2 rh
πr2h
2πr2
54
lateral surface area (S) of a square-base pyramid
r/sinθ
a sin α
πrs
a2/cosα √(1 + sin2α)
55
chord (c) of a circle segment
2πr
2r sin(θ/2)
a sin A
2r
56
lateral surface area for right circular cylinders
2πrh
1/2 rh
2πr2
πd2
57
Area of a rectangle or square
bh
1/2 bh
lwh
2π
58
maximum slant height (s) of square-based pyramid
a/(√2 cosα)
a tanα /√2
πrs
2πrh
59
Area of parallelogram or rhombus
ab
4a
ab sin A
2ab
60
Perimeter of a rectangle or square
2b + 2h
2b + h
lwh
1/2 bh
61
volume for slant or right cylinders of any shape
sC
2πr2
hA´
2πrh
62
radius of inscribed circle (r) with scalene triangle
R/2
πr3
4R sin(A/2)sin(B/2)sin(C/2)
a + b - 2r
63
Total surface area of hemisphere
π/2 d2
3πr2
2πrh
2/3 πr3
64
area of sector (θ must be in radians)
1/2 r2θ
πD
θr
1/2 r2 (θ-sin θ)
65
Perimeter of a triangle
2π
a + b + c
1/2 bh
a2 + b2 = c2
66
total surface area for right circular cylinders
2πrh
πd2
1/2 rh
2πr(r+h)
67
height of isosceles triangle
c/2 tanA
a sin C
2πr2
1/2 ab
68
height of a square-base pyramid
a tanα /√2
a sin α
πrs
r/sinθ
69
height of parallelogram or rhombus
b cos A
b sin A
ab cos π
a cos B
70
cos (A) and/or sin (B)
opposite/hypotenuse
opposite/adjacent
adjacent/hypotenuse
2πr2
71
area of a trapezoid
πr2
1/2 (a+b) h
2ab
bh
72
total Surface area (T) for right circular cone
πrs
√(r2 + h2)
πr (r +s)
2πrh
73
volume of hemisphere
π/2 d2
1/12 πd3
2πrh
3πr2
74
height of scalene triangle
ab
2 (a + b)
a cos B
a sin B
75
Area of parallelogram or rhombus
ab
2ab
4a
ab sin B
76
volume of a square-base pyramid
a sin α
a2h/3
r/sinθ
a2/cosα √(1 + sin2α)
77
radius of inscribed circle (r) with scalene triangle
πr3
R/2
(s-c)tan (C/2)
a + b - 2r
78
Area of parallelogram or rhombus
2ab
4a
ah
ab
