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# Circles in the Real World: Melissa Fernandez Block 2

STEM Project #2 :Melissa Fernandez Block 2
by

## Melissa Fernandez

on 22 May 2013

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#### Transcript of Circles in the Real World: Melissa Fernandez Block 2

By: Melissa Fernandez
Block 2 Circles Unlimited Inc:
Circles in the Real World Basic Circles Terms: Tangents: Real Life Models: Area: Real Life Models: Central: Angles With Circles: Minor Arcs: Real Life Models: I believe that if as the CEO you pick our company, Circles Unlimited, Inc., you will make a great decision not only for yourself but also for your consumers. Circles Unlimited guarantees that we will always make the correct, and hard decisions for you when you need us the most. We know our circles better than any other company and we know how to use them properly. If you want the best out of your dollar then choose us, Circles Unlimited, Inc., to support you throughout this journey, because our ideas our unlimited! :) Persuasive Explanation: Radius: Chord: Diameter: Secant: Tangent: The radius of a circle is a segment whose endpoints are located at the center of the circle and any point on the circle. Radii of circles can be used daily in pie charts to represent data and can be a very helpful visual resource to the public. A chord is a segment contained in a circle whose endpoints are located on the circle. chords are used daily by cutting a pizza in two equal halves. A tangent is a line that intersects a circle at one point. For example a tangent can be found in designs on clothing, artwork, and fabric. A secant is a line that intersects a circle at two different points. Secants can also be found in designs in clothing, fabric, artwork, etc. A diameter is a specific type of chord that contains the center of a circle within its segment. Examples of diameters in the real world can be found in a do not smoke sign where the line crosses out the image of the cigarette in the center of the circle. tangents are shown in crop circles by the straight lines of harvest that run along the edges of the circular designs. A B C D E F Y Z M P A A A A A Concentric Circles Concentric Circles are circles with the same center. Concentric circles in the real world can be expressed through roundabouts. A Both the green circle and the white circle have the center A. Line l intersects circle A at point P line l intersects circle A at point M. line segment AB has endpoint A in circle A and endpoint B on circle A. Line segment CD is located in circle A and has endpoints C and D, which are located on circle A. Line l intersects circle A at points E and F. Line segment YZ contains point A in circle A. Congruent Circles: Congruent circles are circles with the same radius. A B Y Z Cookies can be examples of congruent circles because packaged ones are the same size and have the same radius. 2" 2" Both circle A and circle B have a radius of 2". Circumference: Sectors: The area of a circle is found by using the formula A= r^2. A real world example of finding the area of a circle would be finding the area of a yard for yard work. The formula to find the area of circle A above is A= (3.14)(105)^2. The area is 34618.5 ft^2. A To find the circumference of a circle you must use the formula: C=2 r. You can use the circumference formula in real life when measuring for rocks to surround a flower bed. 3" A B The formula in this case would read C=2(3.14)(3), which means the circumference of the flower bed is 18.84. The formula used to find a sector is: A=x/360*(pi)r^2 You can use the sector formula if you wanted to find the area of a slice of pie. The formula for the slice of pie would be: 45/360*(3.14)(5)^2, which makes the area of the sector is 9.8125"^2. 45 5" Inscribed: Interior: Exterior: A central angle is an angle whose vertex is the center of the circle. An example from real life is a peace sign. A B C Angle <BAC is a central angle. An inscribed angle is an angle that is within a circle. A real life example of an inscribed angle is a sniper target grid. 90 A B C <BAC is an inscribed angle. An exterior angle is an angle formed by two tangents intersecting in the exterior of a circle. An example of an exterior angle is an ice cream cone. A B C M <BAC is an exterior angle. An interior angle is an angle formed by two chords intersecting in the interior of a circle. An example of a real life interior angle would be a quesadilla. 90 A B C D E <BAC is an interior angle. Major Arcs: Semicircles: A minor arc is an arc whose measure is less than 180 degrees. A major arc is an arc whose measure is greater than 180 degrees. A semicircle is an arc with endpoints that are the endpoints of the diameter; the measure equals 180 degrees. An example of a minor arc in real life is the counting down circle before movies. 150 A B C Arc BC is a minor arc. An example of a major arc is a clock. 330 A B C D Arc BDC is a major arc. An example of a semicircle in real life is a hard taco shell. D E F G Arc EFG is a semicircle. 180 Global Application: Circles can be applied globally simply by greed. what I mean by this is that everyone uses money nationwide and therefore we use coins. Since coins are circles and get used no matte the price everyday around the world it proves how circles can be applied globally.
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