This is demo example. Please click on Find button and solution will be displayed in Solution tab (step by step)
Area
1.
Circle
Area
`(A) = pi r^2`
Circumference
`(C) = 2 pi r = pi d`
Diameter
`(d) = 2 r`
2.
Semi-Circle
Area
`(A) = 1/2 pi r^2`
Circumference
`(C) = pi r = (pi d)/2`
Perimeter
`(P) = pi r + 2 r`
Diameter
`(d) = 2 r`
3.
Regular Hexagon
Perimeter
`(P) = 6 a`
Area
`(A) = sqrt(3)/4 xx 6 xx a^2`
4.
Square
Diagonal
`(d) = sqrt(2) a`
Perimeter
`(P) = 4a`
Area
`(A) = a^2 = d^2/2`
5.
Rectangle
Diagonal
`(d) = sqrt(l^2 + b^2)`
Perimeter
`(P) = 2(l+b)`
Area
`(A) = l b`
6.
Parallelogram
Area
`(A) = ah`
Perimeter
`(P) = 2a + 2b`
7.
Rhombus
Radius
`(r_1) = (d_1)/2`
Radius
`(r_2) = (d_2)/2`
Side
`(a) = sqrt(r_1^2 + r_2^2)`
Perimeter
`(P) = 4 a`
Area
`(SA) = (d_1 d_2)/2`
8.
Trapezium
Area
`(A) = h/2 (a + b)`
Perimeter
`(P) = a + b + c + d`
Area >> Triangle
9.
Scalene Triangle
Perimeter
`(P) = a+b+c`
`S = P/2 = (a+b+c)/2`
Area
`(A) = sqrt(S (S - a) (S - b) (S - c))`
10.
Right angle Triangle
Diagonal
`(d) = sqrt(a^2 + b^2)`
Perimeter
`(P) = a+b+c`
Area
`(A) = 1/2(a b)`
11.
Equilateral Triangle
Perimeter
`(P) = 3 a`
Area
`(A) = sqrt(3)/4 a^2`
12.
Isosceles Triangle
Height
`(h) = sqrt(a^2 - b^2/4)`
Perimeter
`(P) = 2 a + b`
Area
`(A) = (b h)/2`
13.
Sector Segment
Length of the arc
`= l = (pi r theta)/180`
Area of a minor sector
`= (pi r^2 theta)/360`