Area of Some Rectilinear Figures
Area of some rectilinear figures
Area of a Triangle : 1/2 x Base x Heights
Area of Equilateral Triangle : Sqrt(3)/4 x (Side)2
Area of a Triangle - Hero's formula :
Sqrt{s (s - a) (s - b) (s - c)} where 2s = a + b + c.
Area of Rectangle = Length x Breadth
Area of a Square = (Side)2
Area of Four Walls = 2 x height (Length + breadth)
Area of Rhombus = 1/2 x (Products of Diagonals)
Area of Trapezium = 1/2 x (Sum of Parallel Sides) x (Distance between Parallel lines)
Area of Parallelogram = Base x Altitude
Somestandards units of Area
100mm2 = 1 cm2, 100 cm2, = 1 dm2
100dm2 = 1 m2, 100 m2, = 1 are
100arcs = 1 hactare
100 hactare = 1 km2
Area related to Circles: Circumference of a Circle or Perimeter of a Circle: The Distance arround the circle or the length of a circle is called its circumference or perimeter. | | Circumference (Perimeter) of a circle = d or 2r, where, r is the radius of the circle and = 22/7 | Circle: If r be the radius of a circle, and its center is O. | | Area of a Circle = r2 | | Area of a Semi-Circle = r2 | | Area of a Quadrant = r2 | Perimeter of a Semi Circle: If r be the radius of a circle, and its center is O. | | Perimeter of a Semi Circle : r + 2r | Area of a Ring: If r be the radius of a circle, and its center is O. | | Area of a ring or Annulus : (R2 - r2) | Length of arc: | | Length of arc AB = or | Area and Perimeter of a Sector : | | Area of a Sector OACBO = or (l x r) | | Area of a Sector OACBO = Length of arc AB + 2r | Area of a Segment : | | Area of a Minor Segemnt ACBA : Area of a sector OACBO - Area of Triangle OAB
= - r2sin(theta) | | Area of a Major Segment BDAB : Area of a circle - Area of a minor segment ACBA
=r2 - Area of minor segment ACBA |
Surface Area and Volumes: Cuboid : If the length of a cuboid is l, breadth is b (sometimes we also use breadth as width 'w') and the height is 'h'. The formula for the lateral surface area, total
Area of a Triangle : 1/2 x Base x Heights
Area of Equilateral Triangle : Sqrt(3)/4 x (Side)2
Area of a Triangle - Hero's formula :
Sqrt{s (s - a) (s - b) (s - c)} where 2s = a + b + c.
Area of Rectangle = Length x Breadth
Area of a Square = (Side)2
Area of Four Walls = 2 x height (Length + breadth)
Area of Rhombus = 1/2 x (Products of Diagonals)
Area of Trapezium = 1/2 x (Sum of Parallel Sides) x (Distance between Parallel lines)
Area of Parallelogram = Base x Altitude
Somestandards units of Area
100mm2 = 1 cm2, 100 cm2, = 1 dm2
100dm2 = 1 m2, 100 m2, = 1 are
100arcs = 1 hactare
100 hactare = 1 km2
Area related to Circles: Circumference of a Circle or Perimeter of a Circle: The Distance arround the circle or the length of a circle is called its circumference or perimeter. | | Circumference (Perimeter) of a circle = d or 2r, where, r is the radius of the circle and = 22/7 | Circle: If r be the radius of a circle, and its center is O. | | Area of a Circle = r2 | | Area of a Semi-Circle = r2 | | Area of a Quadrant = r2 | Perimeter of a Semi Circle: If r be the radius of a circle, and its center is O. | | Perimeter of a Semi Circle : r + 2r | Area of a Ring: If r be the radius of a circle, and its center is O. | | Area of a ring or Annulus : (R2 - r2) | Length of arc: | | Length of arc AB = or | Area and Perimeter of a Sector : | | Area of a Sector OACBO = or (l x r) | | Area of a Sector OACBO = Length of arc AB + 2r | Area of a Segment : | | Area of a Minor Segemnt ACBA : Area of a sector OACBO - Area of Triangle OAB
= - r2sin(theta) | | Area of a Major Segment BDAB : Area of a circle - Area of a minor segment ACBA
=r2 - Area of minor segment ACBA |
Surface Area and Volumes: Cuboid : If the length of a cuboid is l, breadth is b (sometimes we also use breadth as width 'w') and the height is 'h'. The formula for the lateral surface area, total