Area of Circle
A = π × r²
Calculate the area of a circle using its radius
Area of Triangle
A = ½bh
Calculate the area of a triangle
Area of Rectangle
A = l × w
Calculate the area of a rectangle by multiplying length and width
Heron's Formula
A = √(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
Find the area of a triangle from its three side lengths
Pythagorean Theorem
c² = a² + b²
Find the hypotenuse of a right triangle
Circumference of Circle
C = 2πr
Calculate the circumference of a circle
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Volume of Cone
V = (1/3)πr²h
Calculate the volume of a cone
Volume of Cylinder
V = πr²h
Calculate the volume of a cylinder
Volume of Sphere
V = (4/3)πr³
Calculate the volume of a sphere
Surface Area of Cone
A = πr(r + l), l = √(r² + h²)
Calculate the total surface area of a cone
Area of Sector
A = (θ / 360) × πr²
Calculate the area of a circle sector from its central angle
Arc Length of a Circle
L = (θ / 360) × 2πr
Calculate the length of a circular arc from its central angle
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Area of Square
A = s²
Calculate the area of a square using side length
Perimeter of Rectangle
P = 2(l + w)
Calculate the perimeter of a rectangle
Perimeter of Square
P = 4s
Calculate the perimeter of a square
Volume of Cube
V = s³
Calculate the volume of a cube
Volume of Rectangular Prism
V = l × w × h
Calculate the volume of a rectangular prism
Distance Formula
d = √[(x₂-x₁)² + (y₂-y₁)²]
Calculate the distance between two points
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Midpoint Formula
M = ((x₁+x₂)/2, (y₁+y₂)/2)
Find the midpoint between two points
Surface Area of Sphere
SA = 4πr²
Calculate the surface area of a sphere
Area of Parallelogram
A = base × height
Calculate the area of a parallelogram
Area of Trapezoid
A = (a + b) × h ÷ 2
Calculate the area of a trapezoid
Surface Area of Cylinder
SA = 2πr² + 2πrh
Calculate the surface area of a cylinder
Area of Rhombus
A = (d₁ × d₂) / 2
Calculate the area of a rhombus from its diagonals
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Volume of Pyramid
V = (1/3) × l × w × h
Calculate the volume of a rectangular pyramid
Area of Ellipse
A = πab
Calculate the area of an ellipse from its semi-axes
Surface Area of Cube
A = 6a²
Calculate the total surface area of a cube
Polygon Interior Angles
Sum = (n - 2) × 180°
Find the sum of interior angles of a polygon and each angle if regular
Diagonal of Rectangle
d = √(l² + w²)
Calculate the diagonal of a rectangle
Perimeter of Triangle
P = a + b + c
Calculate the perimeter of a triangle
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