Geometry Area Perimeter

In that geometry, the area and perimeter can be calculated for two dimensional and three dimensional shapes. The quantity of surface occupied by a plane figure is called its area. The unit of area is called as square units. The length of the boundary of any closed figure is called as perimeter. The unit of perimeter is meter units. In this article we shall see about the geometry formula for finding the area and the perimeter of simple closed figures like triangle and rectangle, square, and circle. The geometry area and perimeter example problems and practice problems are given below.

Formulas:

Area of square = a2 square units

Perimeter of square = 4 * a

Area of rectangle = length * Width

Perimeter of rectangle = 2( Length + Width)

Area of circle = `Pi` r2

Circumference of circle = 2`Pi` r

Example problems - Geometry area perimeter:

Example problem 1: Find out the area and perimeter of a geometry circle with 15 cm radius.

Solution:

Given:    Radius = 15 cm

Formula:       Area of Circle = radius2

= 3.14 * 152

= 3.14 * 225

On solving this, we get

= 706.5 cm2.

The Circumference of Circle is equal to the multiplication of 2, and ∏ and the radius of the circle

Formula:              Circumference of the Circle = 2 *Π* radius

= 2 * 3.14 * 15

On solving this, we get

= 94.2 cm.

Example problem 2:

Find the geometry surface area of cube for the side is 9 inches.

Solution:

Area of cube A = 6 (side) 2 = 6 * 92

A = 6 * 81

A = 486 square inches.

Example problem 3:

Find the curved surface area, for hemisphere whose radius is 5

Solution:

Curved surface area = 2 * ∏ * r2

= 2 * 3.14 * (5)2

= 2 * 3.14 * 25

= 157

Practice problems - Geometry area perimeter:

Practice problem 1:

Find the area of  circle, For radius is 8

Answer: 200.96

Practice problem 2:

Determine the area and perimeter of rectangle, for length and width are 7meter and 5 meter respectively.

Answer: Area of rectangle = 35 m2

Perimeter of rectangle = 24 m