List of Geometry Formulas Chart
Area of a Circle
| A = Π x square of radius |
Area of Equilateral Triangle
| A = (side^2) √3)/4 |
Area of n gon | A = ½ apothem * Perimeter |
Area of a Parallelogram
| A= base x height |
Area of a Rectangle | A = length x width |
Area of a Rhombus | A = ½ Diagonal 1* Diagonal 2 |
Area of a Square | A = Side^2 |
Area of a Trapezoid | A = ½ ( Base1 + Base 2 ) height |
Area of a Triangle | A = ½ Base x Height |
Base Area of Heptagon | Area of Base = ½ apothem * perimeter |
Base Area of Hexagon | Area of Base = ½ apothem * perimeter |
Base Area of Octagon | Area of Base = ½ apothem * perimeter |
Base Area of Parallelogram | Area of Base = base * altitude |
Base Area Pentagon | Area of Base = ½ apothem * perimeter |
Base Area Rectangle | Area of Base = length * width |
Base Area Square | Area of Base = Square of side |
Base Area Trapezoid | Area of Base = ½ (height)(base 1 + base2) |
Base Area Triangle | Area of Base = 1/2base * height |
Circumference of a Circle | C =2 x Π x radius |
Distance Formula | D=√(x2-x1)2 + (y2 –y1)2
|
Equation of a Circle | General Form (x-h) 2 +( y-k) 2 h and K are coordinates of the circle and r = radius |
45 45 90 Triangle Hypotenuse | H= leg√2 |
45 45 90 Triangle Legs
| 1⁄2 hypotenuse√2 |
Heron’s Formula
| s=(a+b+c)/2 then A= √(s(s-a)(s-b)(s-c)) |
Horizontal Line | Y = ( any number) |
Lateral Area of Cone | πrsl r = radius sl = slant height |
Lateral Area Cube | 4s2 s=side
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Lateral Area Cylinder
| Circumference x Height
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Lateral Area Prism | Perimeter x height
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Lateral Area Pyramid | 1/2P * sl sl =slant height P=perimeter
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Lateral Area Rectangular Solid | Perimeter *height
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Lateral Area Right Cone | LA = ½ Psl P=2πr sl = slant height
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Lateral Area Right Cylinder | LA = 2πr*h
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Lateral Area Right Prism | LA = Ph P = sum of base sides h = height |
Midpoint Formula
|
( X1 + X2)/2 , (Y1 + Y2)/2 |
Perimeter of a Parallelogram | P= 2( base + side) |
Perimeter of a Rectangle | P= 2(base + height) |
Perimeter n gon | P = number of sides * sides |
Perimeter of a Rhombus | P= 4 x side |
Perimeter of a Square | P = 4 x side |
Perimeter of a Trapezoid | Base1 + Base2 + Side1 + side 2 |
Perimeter of a Triangle | Side A + Side B + Side C |
Point Slope Form
| y-y1 = m(x-x1) |
Slope
| Y2-Y1 X2-X1 = Rise over Run |
Slope Intercept Form | y = mx + b M = slope b = y intercept |
Surface Area of a Cone | SA= π*radius*slant height+ πradius2 |
Surface Area of a Cube | SA = 6side2 |
Surface Area of a Cylinder | Lateral Area + 2πradius2 |
Surface Area of a Prism | Lateral Area + 2Base |
Surface Area of a Pyramid | Lateral Area + 1Base |
Surface Area of a Rectangular Prism | 2(length*width + length*height + height*width) |
Surface Area of a right Cone
| SA=1/2*Diameter*π*slant height+base |
Surface Area of a Right Cylinder
|
2πradius2 +2πradius x height |
Surface Area of a Right Prism | SA = Perimeter * height + 2 Base |
Surface Area of a Sphere | 4πradius2 |
30 60 90 Triangle short and long legs
| Short leg =½ hypotenuse Long leg = 1⁄2 hypotenuse√3 |
