Kamis, 02 Februari 2017

Definition, Elements, and Characters of Circle



      A. DEFINITION OF CIRCLE
Circle is a collection of dots, which formed one closed arch and the dots that are on arch equidistant to center point.



B. ELEMENTS OF CIRCLE

1)      The center point
is the midpoint of the circle, the distance of the point to any point on the circle always remains. Point O is the center point of the circle.
2)      Radius of circle
is the distance from the center point to the arc of a circle. The radius of the circle indicated by the line OA, OB, OC.

3)      Bowstring
a line segment in a circle which connect two points on a circle arch. AC line is bowstring circle.

4)      Arc
is a curve that is located in the arc of the circle and connect any two points on the curve. AC curve is a circular arc.

5)      Diameter
is the largest bowstring that through the center point, and its length is twice the radius of the circle. BC line is the diameter of the circle. This line divides the circle into the same area.

6)      Apothem
is a line connecting the center point of the circle with bowstring . It is perpendicular to the bowstring. OD line is apothem.

7)      Circle pie
is the area within a circle bounded by two radius of a circle and an arc that flanked by both the radius of the circle. AOB area is a circle pie.

8)      Borderline
is a circular area that bounded by a bowstring and arc. The yellow area is borderline.

   

     C. CHARACTERS OF CIRCLE
1)      Having a center point.
2)      Only consists of one side.
3)      Not having a vertex and the amount of the angle is 360 degrees
4)      Having radius (r) and diameter (d)
5)      Having an infinite fold symmetry
6)      Having an infinite rotational symmetry

Pi (π)
pi is a quantity which is the special nature of the circle, which is the ratio of the circumference (C) a circle to its diameter (d). Pi has been discovered by scientists earlier. Each of these scientists found that the value of pi approaching 3.14. The following equation pi (π) :

π = (circumference) : (diameter of the circle)

Circumference of Circle
From the equation above, we can also know that the formula circumference of the circle equals pi times the diameter of the circle.
C = πd or C = 2πr

Area of Circle



Area of a circle can be calculated with dissect the circle as elements of a pie and then restructured into a rectangle, so that the area can be easily calculated. In pictures r means the same as the radius of the circle.
It can be seen that from the circle as elements of a pie, they form a rectangle. So, the area of a circle can be calculated using the formula for the area of a rectangle. With a length = πr, width = r
Area of a circle     = Area of the rectangle
                              = Length x width
                              = πr x r
                              = πr2

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