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10-1 Circles and CircumferencePowerPoint Presentation

10-1 Circles and Circumference

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10-1 Circles and Circumference

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10-1 Circles and Circumference

- 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

- 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

- Diameter of x = 22, diameter of Y =16 and diameter of Z =10
- Find EZ and XF

X

Y

Z

E

G

F

- 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

- Find the EXACT circumference

10-8 Equations of Circles

- For a circle with center (h, k) and radius r
x and y are variables and must ALWAYS be in your answer!

- With center (-1, 3) and radius
- With endpoints of the diameter (4, 6) and (-2, 6)

- 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