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Distance and Midpoint Formulas; Circles
1
October 21, 2019
Distance and Midpoint Formulas; Circles
Objectives:• Find the distance between two points.• Find the midpoint of a line segment.• Write the standard form of a circle’s equation.• Give the center and radius of a circle whose equation is in standard form.
• Convert the general form of a circle’s equation to standard form.
Distance and Midpoint Formulas; Circles
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October 21, 2019
(x 2)2 + (y 3)2 = (4)2
(x + 2)2 + (y 3)2 = 16
Distance and Midpoint Formulas; Circles
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October 21, 2019
Center: (3, 1) Radius = 2
Domain: h r, h + r
Range: k r, k + r
Domain: 3 2 , 3 + 2
[5, 1]
Range: 1 2, 1 + 2
[1, 3]
Distance and Midpoint Formulas; Circles
8
October 21, 2019
x2 + y2 + 4x 6y 23 = 0
x2 + 4x + y2 6y = 23
x2 + 4x + 4+ y2 6y + 9 = 23 + 4 + 9
(x + 2)2 + (y 3)2 = 36
Center: (2, 3) Radius: 6