Sec 3 circles
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Homework: Pg 610 # 12-22, 29, 31-36, 48. Sec 3: Circles. *You will need graph paper. Learning Target: I will graph circles given an equation and write an equation given a graph. Quality Core Review. Answer: B. Standard Form of an Equation of a Circle.

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Sec 3: Circles

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Sec 3 circles

Homework: Pg610 #12-22, 29, 31-36, 48

Sec 3: Circles

*You will need graph paper

Learning Target: I will graph circles given an equation and write an equation given a graph.


Quality core review

Quality Core Review

Answer: B


Standard form of an equation of a circle

Standard Form of an Equation of a Circle

  • The standard form of an equation of a circle with center (h, k) and radius r is


Ex 1 write the equation for the following circles

Ex 1: Write the equation for the following circles.

  • Center: (-4, 3) and radius = 4.

  • Center: (0, -2) and radius of 11.


Ex 1 continued

Ex 1 Continued

C. D.


Ex 2 graphing circles given an equation

Ex 2: Graphing Circles Given an Equation

  • Graph (x – 16)² + (y + 9)² = 144

    Center:

    Radius =

  • Domain:

  • Range:

(16, -9)

√144 = 12

4 ≤ x ≤ 28

-21 ≤ y ≤ 3


Ex 3 state the center radius domain and range and then graph the circle

Ex 3: State the Center, Radius, Domain and Range and then Graph the circle.

  • (x + 8)² + (y + 3)² = 121

  • x² + y² = 10

Center: (-8, -3)

r = 11

D: -19 ≤ x ≤ 3

R: -14 ≤ y ≤ 8

Center: (0, 0)

r = √10 or 3.2

D: -3.2 ≤ x ≤ 3.2

R: -3.2 ≤ y ≤ 3.2


Ex 4 this is trickery

Ex 4: This is Trickery!

  • Tell the Center and Radius for

  • Hint: Get rid of the coefficients that are causing the confusion!


Ex 5 wi fi

Ex 5: Wi-Fi

  • A certain wi-fi phone has a range of 30 miles in any direction. If the phone is 4 miles south and 3 miles west of headquarters, write an equation to represent the area within which the phone can operate via the Wi-Fi system.


Homework

Homework

  • Pg610 #12-22, 29, 31-36, 48


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