Introduction to sides of a polygon formula:
In geometry, polygon is two dimensional shapes. It has more than two sides. All sides are straight and connected to another side. The number of vertices is equal to number of sides. Vertices are nothing but corner points of the shape. In this article we shall see how to calculate the area of regular polygon.
Sides of a Polygon Formula - Formulas:
Triangle:
Formula to find area of triangle:
Area of triangle (A) = `1/2` (b x h) square units
b – Base
h – Height
Square:
Formula to find area of square:
Area of square (A) =a2 square units
a – side length
Pentagon:
Formula to find the pentagon:
Area of the pentagon (A) = t2 1.72 square units
t – Side length
Hexagon:
Formula to find area of hexagon:
Area (A) = t2 2.6 square units.
t - Side length
Understanding 6th grade math problems with answers is always challenging for me but thanks to all math help websites to help me out.
Sides of a Polygon Formula – Example Problems:
1. Find the area of triangle whose base is 40 cm and height is 25 cm.
Solution:
Given:
Base (b) = 40 cm
Height (h) = 25 cm
Substitute the given value in the formula
Area of the triangle (A) = `1/2` (b x h) square units
= `1/2` (40 x 25)
= `1/2` (1000)
= 500
Area of the triangle (A) = 500 cm2
2. Find the area of the square, whose side length is 27 cm
Solution:
Given:
Side (a) = 27 cm
Substitute the given value in the formula
Area of square = a2 square units
= 27 x 27
Area of square = 729 cm
3. The side length of pentagon is 13.5 cm. Find the area and perimeter of the pentagon.
Solution:
Given:
Side length (t) = 13.5 cm
Substitute the given value in the formula
Area of the regular pentagon (A) = 1.72 t2 square units
= 1.72 x 13.52
= 1.72 x 182.25
= 313.47
Area of the regular pentagon (A) = 313.47 square units
4. The side length of hexagon is 14.7 cm. find the area of the hexagon.
Solution:
Given:
Side length (t) = 14.7 cm
Substitute the given value in the formula
Formula:
Area of the hexagon (A) = t2 2.6 square units
= 14.72 x 2.6
= 216.09 x 2.6
= 561.834
Area of the hexagon = 561.834 cm2
In geometry, polygon is two dimensional shapes. It has more than two sides. All sides are straight and connected to another side. The number of vertices is equal to number of sides. Vertices are nothing but corner points of the shape. In this article we shall see how to calculate the area of regular polygon.
Sides of a Polygon Formula - Formulas:
Triangle:
Formula to find area of triangle:
Area of triangle (A) = `1/2` (b x h) square units
b – Base
h – Height
Square:
Formula to find area of square:
Area of square (A) =a2 square units
a – side length
Pentagon:
Formula to find the pentagon:
Area of the pentagon (A) = t2 1.72 square units
t – Side length
Hexagon:
Formula to find area of hexagon:
Area (A) = t2 2.6 square units.
t - Side length
Understanding 6th grade math problems with answers is always challenging for me but thanks to all math help websites to help me out.
Sides of a Polygon Formula – Example Problems:
1. Find the area of triangle whose base is 40 cm and height is 25 cm.
Solution:
Given:
Base (b) = 40 cm
Height (h) = 25 cm
Substitute the given value in the formula
Area of the triangle (A) = `1/2` (b x h) square units
= `1/2` (40 x 25)
= `1/2` (1000)
= 500
Area of the triangle (A) = 500 cm2
2. Find the area of the square, whose side length is 27 cm
Solution:
Given:
Side (a) = 27 cm
Substitute the given value in the formula
Area of square = a2 square units
= 27 x 27
Area of square = 729 cm
3. The side length of pentagon is 13.5 cm. Find the area and perimeter of the pentagon.
Solution:
Given:
Side length (t) = 13.5 cm
Substitute the given value in the formula
Area of the regular pentagon (A) = 1.72 t2 square units
= 1.72 x 13.52
= 1.72 x 182.25
= 313.47
Area of the regular pentagon (A) = 313.47 square units
4. The side length of hexagon is 14.7 cm. find the area of the hexagon.
Solution:
Given:
Side length (t) = 14.7 cm
Substitute the given value in the formula
Formula:
Area of the hexagon (A) = t2 2.6 square units
= 14.72 x 2.6
= 216.09 x 2.6
= 561.834
Area of the hexagon = 561.834 cm2
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