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distance
√(x2 - x1)² + (y2 - y1)²
triangle area
(1/2)bh
law of cosines
c² = a² + b² - 2abcos(θ)
pythagorean theorem
a² + b² = c²
main pythagorean identity
sin²(x) + cos²(x) = 1
circle area
𝝿r²
circle circumference
2𝝿r
equation of a circle centered at (h, k)
(x - h)² + (y - k)² = r²
rectangle area
lw
rectangle perimeter
2l + 2w
cylinder volume
𝝿r²h
cylinder surface area
2𝝿r² + 2𝝿rh
rectangular prism volume
lwh
rectangular prism surface area
2lw + 2wh + 2lh
cone volume
(1/3)𝝿r²h
sphere volume
(4/3)𝝿r³
sphere surface area
4𝝿r²