Introduction to geometry plane shapes:

In mathematics, the plane shapes are the shapes which are given in the topic geometry. In geometry, the plane shapes are made by the combination of different lines. In geometry, there are different kinds of plane shapes. The plane shapes are given as circle, triangle, square, and rectangle. In this topic we are going to see about the types of plane shapes with formulas. The types of plane shapes with formulas are given below.

Geometry Plane Shapes - Types:

The names of types of plane shapes are given as,

Square

Rectangle

Triangle

circle

The area and perimeter are the two formulas used by plane shapes on the basis of the sides.                  

The plane shapes with diagrams and formulas are given below:

 Square:

 square

The formulas for square is given as,

Area = a2

Perimeter = 4a

Rectangle:

 rectangle

The formulas for Rectangle is given as,

Area = l*w = length x width

Perimeter = 2(l +w)

Triangle:

 triangle

Circle:

 circle

Area = `pi`r2

Perimeter = 2`pi`r

Some of the examples based on the plane shapes are given below.

Geometry Plane Shapes – Examples:

Example 1: Find the area of the square given that a = 20?

Solution:

Area formulas for square is given as,

Area = a2

Area = 202

Area = 400

The area of square is calculated as 400

Example 2: Find the perimeter of the rectangle given that l = 12, b = 15?

Solution:

Perimeter formulas for Rectangle is given as,

Perimeter = 2(l +w)

Perimeter = 2(12 + 15)

Perimeter = 2*27

Perimeter = 54

The perimeter of rectangle is calculated as 54

Geometry plane shapes – Practice problems:

Problem 1: Find the area for this triangle given that b = 9, h = 12?

Answer is given below:

The area of triangle is calculated as 54

Problem 2: Find the perimeter of the circle given that r = 10?

Answer is given below:

The perimeter of rectangle is calculated as 62.8