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Geometry Formulas: Area, Perimeter, Volume
The area, perimeter, circumference, surface area and volume formulas every student needs.
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54 cards
- Area of a rectangleFormula forA = l × w
- Perimeter of a rectangleFormula forP = 2l + 2w
- Area of a squareFormula forA = s²
- Perimeter of a squareFormula forP = 4s
- Area of a triangleFormula forA = ½ × b × h
- Perimeter of a triangleFormula forAdd the three sides
- Area of a parallelogramFormula forA = b × h
- Area of a trapezoidFormula forA = ½ × (b₁ + b₂) × h
- Area of a rhombusFormula forA = ½ × d₁ × d₂The two diagonals
- Area of a kiteFormula forA = ½ × d₁ × d₂
- Area of a circleFormula forA = πr²
- Circumference of a circleFormula forC = 2πr = πd
- Diameter in terms of radiusFormula ford = 2r
- Length of an arcFormula for(θ/360) × 2πr, with θ in degrees
- Area of a sectorFormula for(θ/360) × πr², with θ in degrees
- Area of an equilateral triangleFormula forA = (√3/4) × s²
- Area of a regular polygonFormula forA = ½ × apothem × perimeter
- Heron's formulaFormula forA = √[s(s−a)(s−b)(s−c)], where s is half the perimeter
- Area of a triangle with two sides and the included angleFormula forA = ½ ab sin C
- Area of an ellipseFormula forA = πaba and b are the semi-axes
- Volume of a cubeFormula forV = s³
- Surface area of a cubeFormula forSA = 6s²
- Volume of a rectangular prismFormula forV = l × w × h
- Surface area of a rectangular prismFormula forSA = 2(lw + lh + wh)
- Volume of any prismFormula forV = base area × height
- Volume of a cylinderFormula forV = πr²h
- Lateral surface area of a cylinderFormula for2πrh
- Total surface area of a cylinderFormula forSA = 2πr² + 2πrh
- Volume of a coneFormula forV = ⅓πr²h
- Lateral surface area of a coneFormula forπrl, where l is the slant height
- Total surface area of a coneFormula forSA = πr² + πrl
- Volume of a pyramidFormula forV = ⅓ × base area × height
- Volume of a sphereFormula forV = 4/3 πr³
- Surface area of a sphereFormula forSA = 4πr²
- Volume of a hemisphereFormula forV = 2/3 πr³
- Slant height of a coneFormula forl = √(r² + h²)
- Diagonal of a rectangleFormula ford = √(l² + w²)
- Diagonal of a squareFormula ford = s√2
- Space diagonal of a rectangular prismFormula ford = √(l² + w² + h²)
- Pythagorean theoremFormula fora² + b² = c²
- Distance formulaFormula ford = √[(x₂−x₁)² + (y₂−y₁)²]
- Midpoint formulaFormula for((x₁+x₂)/2, (y₁+y₂)/2)
- Slope formulaFormula form = (y₂−y₁)/(x₂−x₁)
- Sum of interior angles of an n-gonFormula for(n − 2) × 180°
- Each interior angle of a regular n-gonFormula for(n − 2) × 180° / n
- Sum of exterior angles of any polygonFormula for360°
- Number of diagonals of an n-gonFormula forn(n − 3)/2
- Equation of a circleFormula for(x − h)² + (y − k)² = r²
- Surface area of a triangular prismFormula for2 × base area + perimeter of base × height
- Volume of a torusFormula forV = 2π²Rr²
- Perimeter of an equilateral triangleFormula forP = 3s
- Area of an annulus (ring)Formula forA = π(R² − r²)
- Area scale factorFormula forIf lengths scale by k, area scales by k²
- Volume scale factorFormula forIf lengths scale by k, volume scales by k³
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