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10-1 Circles and CircumferencePowerPoint Presentation

10-1 Circles and Circumference

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

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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:

- 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

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

Example:

- Find the EXACT circumference

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

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

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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