{

COMPASS ROBOTFORMINGCIRCLE

INTRODUCTIONPeoples hatred to Mathematics is already starting in early ages......Mathematics is really a process. Learning it should be in connected progress......Pre-calculus is one of the many classifications of mathematics:• Analytic Geometry • Series• Mathematical Induction• TrigonometryAnalyzing and understanding are the things that need to consider in solving an equation.....

OBJECTIVESDefine circle and it’s parts;Illustrate the different parts of

circleUnderstand the standard

equation of circle; andShow examples using the

formula aligned in circles

EXPECTED OUTPUTLearn more about circles;Identify the different parts of the circle;

Arrange the equation based on the standard equation; and

Solving the problem/ equation using the formula.

DEFINITION OF TERMSCircle- the set of points in a plane equidistant from a fixed point.Center- the fixed point of the circle.Radius- a line from the center to any point on a plane.Diameter- segment that goes through the center of the circle, with both endpoints on the edge of the circle.Domain- the set of all first coordinates.Range- the set of all second coordinates.

REVIEW OF

RELATED LITERATUR

E

Based on Circle Posamentier and Salkind

A circle is a simple closed shape in Euclidean geometry.A circle is a simple closed curve which divides the plane into two regions: an interior and an exterior.In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is only the boundary and the whole figure is called a disk.

A circle is all points in the same plane that lie at an equal distance from a center point. The circle is only composed of the points on the border.

Base on the basic Information about circles

By MatteBoken

A circle is the set of all points equidistant from a given point. The point from which all the points on a circle are equidistant is called the

center of the circle, and the distance from that point to the circle is called

the radius of the circle. A circle is named with a single letter, its center

Spark Notes

A robot is a computational unit capable of sensing the positions of other robots in its surrounding, performing local computations on the sensed data, and moving towards the computed destination.

Giuseppe Prencipe

The robot compass has no identity, no memory of past actions, no common sense of direction and distance. Besides, robots execute the same deterministic algorithm, are unable to communicate directly, and can only interact by turning on the switch.

Stapel, Elizabeth

In "primative" terms, a circle is the shape formed in the sand by driving a stick (the "center") into the sand, putting a loop of string around the center, pulling that loop taut with another stick, and dragging that second stick through the sand at the further extent of the loop of string. The resulting figure drawn in the sand is a circle

METHODOLOGYINSTRUMENT

COMPASS ROBOT FORMING CIRLCE:

Materials: • Battery • Candle Glue • Glue gun • Ruler • Pencil • Rubber Band  

• Nail • 5V DC motor

gearbox • 2AA Batteries

Holder • Switch • Wire

STANDARD EQUATION OF A CIRCLE CENTERED AT THE ORIGIN

A circle with an equation x2 + y2 = r2 has center at the origin (0,0) and radius r, where r > 0.

Example:For instance, x2 + y2 = 32 is an equation of the circle centered at the origin with radius 3. Its graph is shown below.

Standard Equation of a circle centered at (h,k)

A circle with an equation (x - h)2+(y - k)2= r2

has center at (h,k) and radius r, where r > 0Example:The equation can be written as (x - 1)2 + ( y - 0)2 = 12. It is clear h = 1, k = 0, and r = 1. Hence, the center of the circle is at (1,0) and its radius is 1