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# Circles - PowerPoint PPT Presentation

Circles. Zach Laughman , Jesse Nelson, Brandon Wright, Samantha Huggins . Key Words . Radius- a straight line from the center to the circumference of a circle of sphere Diameter- the distance from one end of circle to another

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## PowerPoint Slideshow about 'Circles' - sancha

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Presentation Transcript

### Circles

Zach Laughman, Jesse Nelson, Brandon Wright, Samantha Huggins

• Radius- a straight line from the center to the circumference of a circle of sphere

• Diameter- the distance from one end of circle to another

• Circumference- the enclosing boundary of a circle -the distance around a circle

• Start Angle- The angle in a circle at which you start to determine the degree of another angle

• Center- the middle point of the circle

Start Angle

Center

• Origin: a slice parallel to the base of a cone (see figure)

• Construction: a circle is made up of points that are equidistance from the origin

• (X-h)^2 + (Y-k)^2 = r^2

(0,0)

• (X-0)^2 + (Y-0)^2 = r^2

• X^2 + Y^2 + aX + bY + c = 0

• Get this form into Standard Form by completing the square

Complete the Square:

• Get all X’s and Y’s on the left side

• Get all constants on the right side

• Take half of the middle number, square it, and add it to both sides (for X and Y)

• Simplify

• When rotating a circle, the angle is the only part of the circle that changes

• Same circle, rotated angle

90 degrees

135 degrees

• An angle outside of the circle can be used to help find an angle within the circle

• AxB = CxDA(A+E) = C(C+F)

4(4+6) = 3(3+x)

B

10

6

E

A

4

C

3

F

X

D

13.333

• The conic form of a circle is formed when you intersect a double napped cone and a plane

• The point as the radius approaches zero

• Says how round something is

• The eccentricity of a circle is zero

• Science and Engineering

• Radar systems, latitude/longitude, seismology (locating where an earthquake started)