10 1 circles and circumference
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10-1 Circles and Circumference. Circle. The locus of all points in a plane equidistant from a given point called the center . Circles are named by their center point Chord - any segment with endpoints on the circle Diameter - The chord passing through the center of the circle

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Presentation Transcript
circle
Circle
  • The locus of all points in a plane equidistant from a given point called the center.
  • Circles are named by their center point
  • Chord- any segment with endpoints on the circle
  • Diameter- The chord passing through the center of the circle
  • Radius- a segment whose endpoints are the center of the circle and a point on the circle
example
Example:
  • Circle R has diameters ST and QM
    • If ST=18, find RS
    • If RM=24, find QM
    • If RN=2, find RP

Q

P

S

R

T

N

M

examples
Examples:
  • Diameter of x = 22, diameter of Y =16 and diameter of Z =10
  • Find EZ and XF

X

Y

Z

E

G

F

circumference
Circumference
  • The distance around the circle
  • C = πd or C = 2πr

(where π≈3.14, d is diameter and r is radius)

Example: Find circumference if r = 13 inches

example1
Example:
  • Find the EXACT circumference
standard equation
Standard equation
  • For a circle with center (h, k) and radius r

x and y are variables and must ALWAYS be in your answer!

example write the equation of the circle
Example: Write the equation of the circle
  • With center (-1, 3) and radius
  • With endpoints of the diameter (4, 6) and (-2, 6)
to graph a circle
To graph a circle:
  • Find the center (h, k)

(remember that the formula is x-h and y-k so when naming the center you do the opposite of the equation)

Find the radius by taking the square root of the number after the =

Plot the center and count out for the radius

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