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# 10-1 Circles and Circumference - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' 10-1 Circles and Circumference' - derek-mccormick

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Presentation Transcript

### 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