# Geometry Formulas

** Geometry could be a branch of arithmetic that deals with form, size, the relative position of figures, and therefore the properties of the house. It emerges severally in a variety of early cultures as a sensible means of addressing lengths, space, and volumes.**

**Geometry will be divided into 2 totally different types: geometry and geometry. The geometry deals with shapes like circles, triangles, rectangles, sq. and additional. Whereas, the geometry cares in scheming the length, perimeter, space, and volume of assorted geometric figures and shapes. And are wont to calculate the arc length and radius etc.**

**The main concern of each student concerning this subject is that the pure mathematics Formula. they’re wont to calculate the length, perimeter, space and volume of assorted geometric shapes and figures. There area unit several geometric formulas, that area unit associated with height, width, length, radius, perimeter, area, extent or volume and far additional.**

**Some geometric formula area units rather sophisticated and few you would possibly hardly seen them, however, there area unit some basic formulas that area unit employed in our way of life to calculate the length, house and then on.**

**Basic Geometry Formulas**

**Perimeter of a Square = P = 4a**

**Where a = Length of the sides of a Square**

**Perimeter of a Rectangle = P = 2(l+b)**

**Where, l = Length ; b = Breadth**

**Area of a Square = A = a**^{2}

**Where a = Length of the sides of a Square**

**Area of a Rectangle = A = l×b**

**Where, l = Length ; b = Breadth**

**Area of a Triangle = A = ½×b×h**

**Where, b = base of the triangle ; h = height of the triangle**

**Area of a Trapezoid = A = ½×(b**_{1}+ b_{2})×h

**Where, b1 & b2 are the bases of the Trapezoid ; h = height of the Trapezoid**

**Area of a Circle = A = π×r**^{2}**Circumference of a Circle = A = 2πr**

**Where, r = Radius of the Circle**

**Surface Area of a Cube = S = 6a**^{2}

**Where, a = Length of the sides of a Cube**

**Surface Area of a Cylinder=S=2πrh****Volume of a Cylinder = V = πr**^{2}h

**Where, r = Radius of the base of the Cylinder ; h = Height of the Cylinder**

**Surface Area of a Cone = S = πr[r+√(h**^{2}+r^{2})]**Volume of a Cone = V = ⅓×πr**^{2}h

**Where, r = Radius of the base of the Cone, h = Height of the Cone**

**Surface Area of a Sphere = S = 4πr**^{2}**Volume of a Sphere = V = 4/3×πr**^{3}

**Where, r = Radius of the Sphere**