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# 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 Lateral Area Cylinder Circumference x Height Lateral Area Prism Perimeter x height Lateral Area Pyramid 1/2P * sl sl =slant height P=perimeter Lateral Area Rectangular Solid Perimeter *height Lateral Area Right Cone LA = ½ Psl P=2πr sl = slant height Lateral Area Right Cylinder LA = 2πr*h 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-Y1X2-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 hypotenuseLong leg = 1⁄2 hypotenuse√3