subject: Geometric Function [print this page] Introduction to Geometric Function: Introduction to Geometric Function:
Let us see the introduction about geometric function. Geometric function is considered as the notions of higher generalized functions like as on groupoids or more generally on infinity-stack. The geometric function is closely related condition is considered as the situation of groupoidification, the aim of the groupoidification is to encode not only the matrix multiplication operation. We discuss the definition of geometric function.
Definition of Geometric Function:
In geometric function the finite sets are only replaced with the generalized spaces. The point is so as to the simple statement subsequently turns out to be a powerful organization.
Geometric Formulas:
Let us see the Geometric Formulas:
Circumference:
Circle c=2pir, where r is the radius of the circle.
Perimeter:
P= 2L+2W,
Where L is the length of the perimeter and
W is the width of the perimeter.
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Example Problems for Geometric Function:
Example 1: Find the radius of the given circle. The circumference of the circle is 92pi.
Solution:
The given circle is c= 92pi.
The circle formula is c=2pir
Substitute c=92pi in the above formula
92pi=2pir
r=92/2=46
Answer: The radius of the circle r=46
Example 2: The length of a rectangular box is 4 feet longer than 6 times its width. If the perimeter of the garden is 200 feet, find the width and the length of the garden.
Solution:
Given L=4+6W, P=200
The perimeter formula is P= 2L+2W
Substitute the values in the above formula,
200=2(4+6W) +2W
Solve for W and L in the above equation,
200=8+12W+2W
200=8+14W
200-8=14W
192=14W
W=13.714
Substitute W=3.714 in the above perimeter formula,
200=2L+2(3.714)
200-27.428=2L
L=86.286
Check the perimeter is 200.
P=2L+2W
P=2(86.286) +2(13.714)
=172.572+27.428
P=200
Answer:
The width of the perimeter is W=13.714
The length of the perimeter is L=86.286
Example 3: Find the radius of the given circle. The circumference of the circle is 84pi.