Area and Volume of Shapes
Solve For:
   Area of Square
*
Parameter Output
Area : 25.00 m2
Perimeter : 20.00 m
Diagonal : 7.07 m
Square Shape
   Solutions
Area
  a 2
  5 2
  25 m 2
Perimeter
  4 x a (side)
  4 x 5
  20 m
Diagonal
  a √ 2
  5 x 1.414
  7.07 m
  Area of Rectangle
*
*
Parameter Output
Area : 35.00 m 2
Perimeter : 24.00 m
Diagonal : 8.60 m
Rectangle Shape
   Solutions
Area
  a x b
  7 x 5
  35.00 m 2
Perimeter
  2 ( a + b )
  2 ( 7 + 5 )
  24 .00 m
Diagonal
  √ (a2 + b2 )
  √ (72 + 52)
  8.60 m
   Area of Triangle
*
*
Parameter Output
Area : 14.00 m2
Triangle Shape

   Solutions
Area
  (b x h) / 2
  ( 7 x 4) / 2
  14.00 m 2
  Perimeter of Triangle
*
*
*
Parameter Output
Perimeter : 18.00 m
Triangle Shape
   Solutions
Perimeter
  a + b + c
  4 + 6 + 8
  18.00 m
   Area of Rhombus
*
*
Parameter Output
Area : 27.00 m 2
Perimeter : 21.64 m
side(a) : 5.41 m
Triangle Shape
   Solutions
Area
  ( D x d ) / 2
  ( 9 x 6 ) / 2
  27.00 m 2
side
  √ (D2 + d2)
  √ (92 + 62)
  5.41 m
Perimeter
  4 x a
  4 x 5.41
  21.64 m
  Perimeter of Rhombus
*
Parameter Output
Perimeter : 28.00 m
Triangle Shape
   Solutions
Perimeter
  4 x a
  4 x 7
  28.00 m
   Find Side of Rhombus
*
Parameter Output
side : 6.00 m
Triangle Shape
   Solutions
side
  P / 4
  24 / 4
  6 m
   Area of Trapezoid
*
*
*
Parameter Output
Area : 51.00 m2
Triangle Shape
   Solutions
Area
 [(B + b) x h ] / 2
 [(10 + 7) x 6 ] / 2
  51.00 m 2
  Perimeter of Trapezoid
*
*
*
*
Parameter Output
Perimeter : 31.00 m
Triangle Shape
   Solutions
Perimeter
  a + b + c + d
  10 + 9 + 7 + 5
  31.00 m
   Area of Regular Polygon
*
*
Parameter Output
Perimeter : 45.00 m2
Triangle Shape
   Solutions
Area
  ( P x a ) / 2
  (15 x 6) / 2
  45.00 m 2
   Area of Circle
*
Parameter Output
Area : 153.93 m2
Circumference : 43.98 m
Diameter : 14.00 m
Circle Shape
   Solutions
Area
  π r 2
  3.14 x 7 2
  153.93 m 2
Circumference
 2 π r
  2 x 3.14 x 7
  43.98 m
Diameter
  2r
  2 x 7
  14.00 m
   Find Radius of Circle
*
Parameter Output
Radius : 7.00 m
Triangle Shape
   Solutions
Radius
  √ ( A / π )
  √ ( 153.93 / 3.14 )
  7.00 m
   Area of Cone
*
*
Parameter Output
Base Area : 254.46 m2
LSA (Area) : 494.58 m2
TSA (Area) : 749.05 m2
Volume : 1272.31 m3
Triangle Shape
   Solutions
TSA (Area)
  πr ( r + √(h2 + r2))
  3.14 x 9 ( 9 + √(152 + 92))
  749.05 m 2
Volume
  (πr2 h) / 3
  (3.14 x 92x 15) / 3
  1272.31 m 3
   Find Radius of Cone
*
Parameter Output
Radius : 2.52 m
Triangle Shape
   Solutions
Radius
  √ ( A / π )
  √ ( 20 / 3.14 )
  2.52 m
  Find Slant height of Cone
*
*
Parameter Output
Slant Height (s) : 27.73 m
Triangle Shape
   Solutions
Slant Height (s)
  √ ( h2 + r2 )
  √ ( 252 + 122 )
  27.73 m
   Area of Sphere
*
Parameter Output
Area: 3216.90 m2
Diameter: 32.00 m
Volume: 17156.78 m3


Triangle Shape
   Solutions
Area
  4πr 2
  4 x 3.14 x 16 2
  3216.99 m2
Diameter
 2r
 2 x 16
  32.00 m
Volume
  4/3πr3 or 4πr3/3
  4/3 x 3.14 x 16 3
  17157.28 m3
  Find Radius of Sphere
*
Parameter Output
Radius: 16.00 m


Triangle Shape
   Solutions
Radius
  1/2√ ( A / π )
  1/2√ ( 3216.90 / 3.14 )
  16.00 m
   Area of Ellipse
*
*
Parameter Output
Area: 471.00 m2
Perimeter: 80.05 m
Triangle Shape
   Solutions
Area
  π x r1 x r2
  3.14 x 10 x 15
  150.00 m2
Circumference
  2π √ [( r12 + r22 ) / 2 ]
  2 x 3.14 √ ( 102 + 152 ) / 2
  107.18 m

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