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DRILL. Find the area and circumference of each circle in terms of (pi) with the given information for each circle. Radius = 5 in. Diameter = 14 ft. Radius = ½ yd. Radius = 3x & Diameter = 2x + 20. 12.1 Circles in The Coordinate Plane. X & Y Intercepts.

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drill
DRILL
  • Find the area and circumference of each circle in terms of (pi) with the given information for each circle.
  • Radius = 5 in.
  • Diameter = 14 ft.
  • Radius = ½ yd.
  • Radius = 3x & Diameter = 2x + 20
x y intercepts
X & Y Intercepts
  • X – Intercept: is where the graph crosses the x-axis and the value of y = 0.
  • Y-Intercept: is where the graph crosses the y-axis and the value of x = 0.

Ex: x2 + y2 = 36

Ex: (x + 2) 2 + (y – 1) 2 = 16

equation of a circle
Equation of a Circle

The center of a circle is given by (h, k)

The radius of a circle is given by r

The equation of a circle in standard form is

(x – h)2 + (y – k)2 = r2

finding the equation of a circle
Finding the Equation of a Circle

Circle A

The center is (16, 10)

The radius is 10

The equation is

(x – 16)2 + (y – 10)2 = 100

finding the equation of a circle1
Finding the Equation of a Circle

Circle B

The center is (4, 20)

The radius is 10

The equation is

(x – 4)2 + (y – 20)2 = 100

finding the equation of a circle2
Finding the Equation of a Circle

Circle O

The center is (0, 0)

The radius is 12

The equation is

x 2 + y 2 = 144

graphing circles
Graphing Circles

(x – 3)2 + (y – 2)2 = 9

Center (3, 2)

Radius of 3

graphing circles1
Graphing Circles

(x + 4)2 + (y – 1)2 = 25

Center (-4, 1)

Radius of 5

graphing circles2
Graphing Circles

(x – 5)2 + y2 = 36

Center (5, 0)

Radius of 6

writing equations of circles
Writing Equations of Circles

Write the standard equation of the circle:

Center (4, 7) Radius of 5

(x – 4)2 + (y – 7)2 = 25

writing equations of circles1
Writing Equations of Circles

Write the standard equation of the circle:

Center (-3, 8) Radius of 6

(x + 3)2 + (y – 8)2 = 36

writing equations of circles2
Writing Equations of Circles

Write the standard equation of the circle:

Center (2, -9) Radius of

(x – 2)2 + (y + 9)2 = 11

writing equations of circles3
Writing Equations of Circles

Write the standard equation of the circle:

Center (0, 6) Radius of

x 2 + (y – 6)2 = 7

writing equations of circles4
Writing Equations of Circles

Write the standard equation of the circle:

Center (-1.9, 8.7) Radius of 3

(x + 1.9)2 + (y – 8.7)2 = 9

homework
Homework
  • Complete the Worksheet
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