equations

sum of interior angles

180(n-2)

regular interior angle

180 - (360/n)

reg exterior angle

360/n

sum of ext angles

360

number of diagonals

n(n-3) / 2

atht- hyp geom mean

h^2 = xy

atht- leg geom mean

a^2= yc / b^2= xc

distance theorem

30-60-90

x, x√3, 2x

45-45-90

x, x, x√2

rectangle area

bh

square area

s^2

pgram area

bh

triangle area

bh / 2

trapezoid area

(b1-b2 / 2) h

kite area

(d1 * d2) / 2

equilateral triangle area

(s^2 √3) / 4

polygon area

( apothem * perimeter ) / 2

sector area

prism lateral area

perimeter * height

prism surface area

2*base area + perimeter * height

prism volume

base area * height

pyramid lateral area

1/2 (perimeter * slant height)

pyramid surface area

base + 1/2 (perimeter * slant height)

pyramid volume

(1/3) * base area * height

sphere surface area

4πr^2

sphere volume

(4/3)πr³

cylinder lateral area

2πrh

cylinder surface area

2πrh + 2πr^2

cylinder volume

base area * height

cone lateral area

πr𝓁

cone surface area

πr𝓁 + πr^2

cone volume

(1/3) * base area * height