Mensuration Formulas PDF

(no subject) 1 message Geethanjali Paladi Fri, 29 Nov, 2024 at 10:23 pm Draft MENSURATION FORMULAS Triangle Area=½bh Perimeter =a +b + c Equilateral triangle Area=√3a²/4 Perimeter =3a Altitude =√3a/2 Parallelogram Area = base x height...

(no subject) 1 message Geethanjali Paladi Fri, 29 Nov, 2024 at 10:23 pm Draft MENSURATION FORMULAS Triangle Area=½bh Perimeter =a +b + c Equilateral triangle Area=√3a²/4 Perimeter =3a Altitude =√3a/2 Parallelogram Area = base x height Perimeter = 2(l + b) Rectangle Area = l x b Perimeter = 2(l + b) Diagonal = √(l² + b²) Square Area = side² Perimeter = 4 x side Diagonal = √2 x side Rhombus Area = ½ x d₁ x d₂ Perimeter = 4 x side Side = ½√(d₁² + d₂²) Trapezium Area = ½ x h(a+b) Perimeter = a + b + c + b Circle Area = πr² Circumference = 2πr Diameter = 2r Semi-circle Area = ½πr² Circumference = πr + 2r Ring  Area = π (R² - r²) perimeter=2π(R + r) Sector of a Circle(l=(θ/360°)2πr) Area =(θ/360°)πr²=½×lr Perimeter=(θ/360°)2πr + 2r Perimeter=l+2r Length of arc =(θ/360°)2π Cube(R=Outer radius )(r=inner radius) TSA=6a² LSA /CSA =4a² Volume=a³ diagonal = 3√a Cuboid TSA=2(lb+bh+hl) LSA /CSA =2(l + b)h Volume=lbh diagonal=√(l²+b²+h²) Cylinder TSA=2πr(h + r) LSA /CSA =2πrh Volume=πr²h Cone( l=√(h² + r²) ) TSA=πrl LSA / CSA=πr(l + r) Volume =⅓πr²h. Sphere TSA=4πr² LSA / CSA=4πr² Volume =4/3 ×πr³ Hemisphere TSA=3πr² LSA / CSA =2πr² Volume =⅔πr³ Right prism TSA=2( area of base) +LSA LSA /CSA= perimeter of base ×height Volume=)(area of base) × (height) Right circular cylinder TSA=2πrh+2πr² or 2πr(r+h) LSA /CSA=2πrh Volume= πr²h Right pyramid TSA= area of base + LSA  LSA /CSA=½× perimeter of base ×slant height Volume= ⅓× area of base× height Right circular cone TSA=πr(l + r) LSA /CSA=πrl Volume= ⅓πr²h (Slant height) l=√(h² + r²) Frustum of cone TSA=π{l(r + R)+r² + R²} LSA /CSA=π(R + r) l Volume= πh×⅓(r² + R² + rR) (Slant height) l=√[h² +(R-r)²] Scalene Triangle Area=½bh=√[s(s-a) (s-b) (s-c)] Perimeter=a+b+c=2s Isosceles right Triangle Area=½ × a² Perimeter=2a + h Hypotenuse =a√h Quadrilateral Area=½× diagonal × (h1 + h2) Perimeter=a + b + c + d Right triangle (base=b) (perpendicular =p) (hypotenuse =h) Area=½bp Perimeter=b×h×p Hypotenuse =√(b²+p²)