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- RIGHT TRIANGLES $
- area = ½ab = ½ sinφ B $
- perimeter = a+b+c $
- hypotenuse = c = √(a²+b²) c $
- a $
- $
- $
- A φ b $
- C $~6 RECTANGLES $
- area = ab $
- perimeter = 2a + 2b b $
- $
- $
- a $
- $
- $
- $~2 SQUARES $
- area = a2 diagonal = a√2 $
- perimeter = 4a a $
- $
- $
- a $
- $
- $
- $~1 PARALLELOGRAMS $
- area = bh = ab sinφ $
- perimeter = 2a + 2b b $
- $
- $
- a $
- h $
- $
- φ $~3 CIRCLES $
- area = πr² $
- = dia² x .785398163 $
- perimeter = 2πr $
- r $
- $
- $
- $
- $~4 TRIANGLES $
- area = ½bh = ½ sinφ = √s(s-a)(s-b)(s-c) $
- where s = ½(a+b+c) = semiperimeter $
- perimeter = a+b+c $
- $
- a h c $
- $
- φ $
- b $~5 POLYGON'S INSCRIBED IN A CIRCLE $
- Polygon of n sides inscribed in a circle of diameter d $
- # of sides 1 cord length = d x SIN(180/n) $
- 3n d x .8660 ┌──────┐ $
- 4n d x .7071 │ │ $
- 5n d x .5878 │ │ $
- 6n d x .5000 │ │ $
- 7n d x .3854 └──────┘ $
- 8n d x .3827 $~4