DRILL

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# DRILL - PowerPoint PPT Presentation

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 &amp; Diameter = 2x + 20. 12.1 Circles in The Coordinate Plane. X &amp; Y Intercepts.

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Presentation Transcript
DRILL
• Find the area and circumference of each circle in terms of (pi) with the given information for each circle.
• Diameter = 14 ft.
• Radius = 3x & Diameter = 2x + 20

### 12.1Circles in The Coordinate Plane

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

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

Circle A

The center is (16, 10)

The equation is

(x – 16)2 + (y – 10)2 = 100

Finding the Equation of a Circle

Circle B

The center is (4, 20)

The equation is

(x – 4)2 + (y – 20)2 = 100

Finding the Equation of a Circle

Circle O

The center is (0, 0)

The equation is

x 2 + y 2 = 144

Graphing Circles

(x – 3)2 + (y – 2)2 = 9

Center (3, 2)

Graphing Circles

(x + 4)2 + (y – 1)2 = 25

Center (-4, 1)

Graphing Circles

(x – 5)2 + y2 = 36

Center (5, 0)

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 Circles

Write the standard equation of the circle:

Center (-3, 8) Radius of 6

(x + 3)2 + (y – 8)2 = 36

Writing Equations of Circles

Write the standard equation of the circle:

(x – 2)2 + (y + 9)2 = 11

Writing Equations of Circles

Write the standard equation of the circle: