Geom_10.5.1_Video Lesson - Equation of a Circle

FIRST: Complete the activity from page 1 of your notes

(Insomnia Cookies continued).

THEN: Answer the next 5 questions here.

1) What formula should we use to determine

who Insomnia Cookies will deliver to?

2) How far is Seth from Insomnia Cookies?

4) Which people live ON the delivery circle?

5a) Ojone also lives on the Insomnia delivery circle at some ordered pair (x,y).

Write an expression that gives her HORIZONTAL distance from Insomnia.

5b) Ojone also lives on the Insomnia delivery circle at some ordered pair (x,y).

Write an expression that gives her VERTICAL distance from Insomnia.

CYU #1

Use the center and radius to write the equation of the circle shown using the standard formula:

$$\left(x-h\right)^2\ +\ \left(y-k\right)^2\ =\ r^2$$

*Be sure to simplify the radius, when possible

CYU #2

Given: $$\left(x-3\right)^2+\left(y+2\right)^2=4$$

Identify the center and radius. Then decide which graph matches the above equation.

CYU #3

Given: Center at (0, -2) and a radius of 2.

Now write the equation for the circle.