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Gaurav Seth 7 years, 2 months ago
Rectangle :
- Area = lb
- Perimeter = 2(l+b)
Square :
- Area = a×a
- Perimeter = 4a
Parallelogram
- Area = l × h
- Perimeter = 2(l+b)
Triangle :
- Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2
Right angle Triangle :
- Area =1/2(bh)
- Perimeter = b+h+d
Isosceles right angle triangle :
- Area = ½. a2
- Perimeter = 2a+d……………………….where d=a√2
Equilateral Triangle :
- Area = √3. a2/4 or ½(ah)….where h = √3/2
- Perimeter = 3a
Trapezium :
- Area = 1/2h(a+b)
- Perimeter = Sum of all sides
Rhombus :
- Area = d1 × d2/2
- Perimeter = 4l
Quadrilateral
- Area =1/2 × Diagonal × (Sum of offsets)
Kite :
- Area = d1×d2/2
- Perimeter = 2 × Sum on non-adjacent sides
Circle :
- Area = πr^2 or πd^2/4
- Circumference = 2πr or πd
- Area of sector of a circle = (θπr^2 )/360
Frustum :
- Curved surface area = πh(r1+r2)
- Surface area = π( r12+ h(r1+r2) + r22)
Cube :
- Volume: V = l3
- Lateral surface area = 4a2
- Surface Area: S = 6s2
- Diagonal (d) = √3l
Cuboid :
- Volume of cuboid: lbh
- Total surface area = 2 (lb + bh + hl) or 6l2
- Length of diagonal =√(l^2+b^2+h^2)
Right Circular Cylinder :
- Volume of Cylinder = π r2 h
- Lateral Surface Area (LSA or CSA) = 2π r h
- Total Surface Area = TSA = 2 π r (r + h)
- Volume of hollow cylinder = π r h(R2 – r2)
Right Circular cone :
- Volume = 1/3 π r2h
- Curved surface area: CSA= π r l
- Total surface area = TSA = πr(r + l )
Sphere
- Volume: V = 4/3 πr3
- Surface Area: S = 4πr2
Hemisphere :
- Volume = 2/3 π r3
- Curved surface area(CSA) = 2 π r2
- Total surface area = TSA = 3 π r2
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Yogita Ingle 5 years, 11 months ago
{tex}\begin{array}{l}\;\frac35(x\;+\;1)\;=\;\frac95(\;1-\;x)\\3(x+\;1)=\;9\;(1-x)\\(x\;+1)\;=3(\;1-\;x)\\\;x\;+\;1\;=\;\;3\;-\;x\\x\;+\;x\;\;=3-1\\2x=\;2\\x\;=1\end{array}{/tex}
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Yogita Ingle 7 years, 2 months ago
AB = 24cm , BC = 7cm
In triangle ABC, right angle at B
AC2 = AB2 + BC2
AC2 = (24)2 + (7)2
AC2 = 576 + 49
AC2 = 625
AC = 25
Sin A = 7/25
Cos A = 24/25
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