Geometry is an interesting branch of math that deals with shape, size, the relative position of shapes and properties associated with them. Some common examples of shapes are:

· Circle

· Triangle

· Rectangle

· Square, and more.

We study geometry to practically deal with lengths, areas, and volumes. It becomes very easy to find the area, perimeter, or volume of any definite space using the geometrical formulas.

## Terminologies for Geometry

**What is Area?**

Ans: Area is the amount of space inside the boundary.

**What is Perimeter?**

Ans: Perimeter is the definite path or boundary that surrounds the shape.

**What is Volume?**

Ans: Volume quantifies three-dimensional space enclosed in a closed surface like Cylinder, Cube, Sphere etc.

### Difference between Area and Perimeter

All the blue part is the “Area of the Star” and the total red part is the “Perimeter of the Star”.

## Basic Geometry Formulas for Kids

Using these formulas one can calculate the area, perimeter, and volume of different shapes. Let’s learn some important formulas for basic shapes.

**Square**

Perimeter of a square: 4 x a

Area of a square: a^{2}

Where, a is the length of the side of the square.

**Rectangle**

Perimeter of a rectangle: 2(l + b)

Area of a rectangle: l x b

Where, l is the length and b is the breadth of the rectangle.

**Circle**

Circumference of a circle: 2πr

Area of a circle: π x r^{2}

Where, r is the radius of the circle.

**Triangle**

Area of a triangle: ½ x b x h

Where, b is the length of the base and h is the length of the height of the triangle.

**Cube**

Surface area of a cube: 6 x a^{2}

Volume of a cube: a^{3}

Where, a is the length of the edge.

**Cylinder**

Curved surface area of a cylinder: 2πrh

Total surface area of a cylinder: 2πr (r + h)

Volume of a cylinder: πr^{2}h

Where, r is the radius of the base and h is the height of the cylinder.

**Cone**

Curved surface area of a cone: πrl

Total surface area of a cone: πr (r + l)

Volume of a cone: ⅓ x πr^{2}h

Where, r is the radius of the base and l is the slant height of the cone.

**Sphere**

Surface Area of a sphere: 4πr^{2}

Volume of a sphere: 4/3 x πr^{3}

Where, r is the radius of the sphere.

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