Sec 3: Circles
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Transcript of Sec 3: Circles
Sec 3: Circles*You will need graph paper
Homework: Pg 610 #12-22, 29, 31-36, 48
Learning Target: I will graph circles given an equation and write an equation given a graph.
Quality Core Review
x
y
Answer: B
The standard form of an equation of a circle with center (h, k) and radius r is
Standard Form of an Equation of a Circle
A. Center: (-4, 3) and radius = 4.
B. Center: (0, -2) and radius of 11.
Ex 1: Write the equation for the following circles.
C. D.
Ex 1 Continued
Graph (x – 16)² + (y + 9)² = 144
Center: Radius =
Domain: Range:
Ex 2: Graphing Circles Given an Equation
(16, -9)
√144 = 12
4 ≤ x ≤ 28
-21 ≤ y ≤ 3
A. (x + 8)² + (y + 3)² = 121
B. x² + y² = 10
Ex 3: State the Center, Radius, Domain and Range and then Graph the circle.
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
Tell the Center and Radius for
Hint: Get rid of the coefficients that are causing the confusion!
Ex 4: This is Trickery!
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.
Ex 5: Wi-Fi
Pg 610 #12-22, 29, 31-36, 48
Homework