Mensuration Formulas Flashcards
Area of a Scalene Triangle
square root of s(s-a)(s-b)(s-c)
Area of a Triangle
1/2 Base X Height OR 1/2 X Side a X Side b X SinTheta
How to find the ‘S’ for the Artea of a Scalene Triangle
a+b+c/2
Area of an Equilateral Triangle
(√3)/4 X a^2
Perimeter of an Equilateral Triangle
3 X a
Area of a Rectangle
l X b
Diagonal of a Rectangle
Root of l^2+b^2
Perimeter of a Rectangle
2(l+b)
Area of a Rhombus
1/2 X d1 X d2
Perimeter of a Rhombus
4 X a
Area of a Kite
1/2 X d1 X d2
Area of a Trapezium
1/2 X (a+b) X h
Area of a Square
a^2 OR diagonal^2/2
Perimeter of a Square
4 X a
Diagonal of a Square
√2 X a
Area of a Hexagon
(3√3 a^2)/2
Perimeter of a Hexagon
6 X a
Area of a circle
πr^2
Circumference/ Perimeter of a circle
2πr OR πd
Area of Sector
θ/360 X πr^2 OR Lenght of Arc X r/2
Length of Arc
θ/360 X 2πr
Area of Semi-circle
1/2πr^2
Perimeter of a Semi-circle
πr+2r
Area of a Quadrant
1/4πr^2
Periemeter of Quadrant
1/4 X (2πr) + 2r
Area of a Segment
Area of Sector - Area of a Triangle
Distance travelled by a Wheel
Circumference of a circle X number of spins
Km/hr to m/s
5/18
Hectare: Meter^2
1:10,000
Area of a Parallelogram
b X h OR aXbXsinθ
Area of a Ring
π(R^2-r^2)
litre to cm^3
1:1000
Volume of a Cuboid
l X b X h
Volume of a Cube
a^3
Volume of a Cylinder
πr^2h
Volume of a Cone
1/3πr^2h
Slant Height
l^2=r^2 + h^2
Volume of a Sphere
4/3πr^3
Volume of a Hemisphere
2/3πr^3
Volume of of a Prism
Area of Cross Section X Length
Volume of a Pyramid
1/3 X Area of Base X Height
T.S.A of a Cuboid
2(lb+bh+lh)
T.S.A of a Cube
6a^2
C.S.A of a Cylinder
2πrh
T.S.A of a Cylinder
2πr(r+h)
C.S.A of a Cone
πrl
T.S.A of a Cone
πr(r+l)
T.S.A/ C.S.A of a Sphere
4πr^2
T.S.A/C.S.A of a Hemisphere
3πr^2
S.A of a Prism
(Perimeter of C.S X Length) + (2 X area of C.S)
S.A of a Pyramid
Area of Base + Area of Triangles
