Mensuration formulae

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Area of circle |
Area of circle = Π r ²Circumference of circle
= 2 Π r |

Area of triangle |
Area of
Equilateral-triangle = (√3/4) a²Perimeter of
Equilateral-triangle = 3a |

Area of scalene triangle |
Area of scalene triangle
= √s(s-a)(s-b)(s-c)Perimeter of scalene
triangle = a + b + c |

Area of semicircle |
Area of Semi circle=
(1/2) Π r²Perimeter of semi-circle
= Πr |

Area of quadrant |
Area of quadrant = (1/4) Π r² |

Area of rectangle |
Area of rectangle = L x
WPerimeter of
rectangle=2(l+w) |

Area of square |
Area of square = a²Perimeter of square = 4a |

Area of parallelogram |
Area of parallelogram =
b x h |

Area of quadrilateral |
Area of
quadrilateral=(1/2) x d x (h₁+h₂) |

Area of rhombus |
Area of rhombus =(1/2) x
(d₁ x d₂) |

Area of trapezoid |
Area of trapezoid =(1/2)
(a + b) x h |

Area of sector |
Area of the sector =
(θ/360) x Π r ² square units (or) Area of the
sector = (1/2) x l r square units Length of arc = (θ/360)
x 2Πr |

Cylinder |
Curved surface area = 2
Π r h Total Curved surface
area = 2 Π r (h+r) Volume = Π r²h |

Cone |
Curved surface area = Π
r l Total Curved surface
area = Π r (L+r) Volume = (1/3)Π r²hL² = r² + h² |

Sphere |
Curved surface area = 4Π
r²Volume = (4/3)Π r³ |

Hemisphere |
Curved surface area = 2Π
r²Total Curved surface
area=3Π r²Volume = (2/3)Π r³ |

Cuboid |
Curved surface
area=4h(l+b)Total surface area =
2(lb+bh+h l)Volume = l x b x h |

Cube |
Curved surface area=4a²Total surface area = 6a²Volume = a³ |

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ReplyDeleteMany students find mensuration topics very difficult as students need to understand various shapes, how the shape turns into different shapes when cut from a different angle, and formulas to solve a particular mensuration-related problem. The formulas you shared here would be very helpful for the students and if they learn them well then definitely they will be able to solve many questions. Mensuration is a very important topic when it comes to the geometry of the universe. By definition, mensuration refers to the part of geometry concerned with ascertaining lengths, areas, and volumes. Hence, it is easy to see why mensuration in learning maths is instrumental and plays a big part in real-world problems. Thanks for sharing.

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