The following shapes are regular based structures, they are
1 ) Hexagon=> Regular:
Definition:
2) Pentagon: Regular
The area of a regular convex pentagon is represented by
A = t^{2 }`sqrt(25)` + 10 `sqrt(5)` / 4
3) Heptogon=> regular:
Definition:
The area A of a regular heptagon is represented as
A = 7/4 a^{2}cot π.
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Definition of Irregular shapes:
Inductive and Deductive Reasoning
The above figure has two shapes, like a square and half a circle
Find the area for each of those two shapes and add the results
Square
Area = s^{2}
= 4^{2}
= 16
Circle
Area _{circle} = π × r^{2}
Notice that the radius of the circle is 4/2 = 2
Area = 3.14 × 2^{2}
= 3.14 × 4
= 12.56
Since we have only half a circle, here we have to multiply the result by 1/2,we get
1/2 × 12.56 = 6.28
Area of this shape = 16 + 6.28 = 22.28.
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