Sec 3: Circles

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# Sec 3: Circles - PowerPoint PPT Presentation

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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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.

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.
• Center: (-4, 3) and radius = 4.
• Center: (0, -2) and radius of 11.
Ex 2: Graphing Circles Given an Equation
• Graph (x – 16)² + (y + 9)² = 144

Center:

• 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.
• (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!
• Tell the Center and Radius for
• Hint: Get rid of the coefficients that are causing the confusion!
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
• Pg610 #12-22, 29, 31-36, 48