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Equations of Circles & Systems 1.) What are the coordinates of the center and the length of the radius of the circle whose equationis (x + 1)? + (y- 5)2 = 16? [1]1(1,-5) and 16 [2] (-1,5)and 16 [3] (1,-5)and 4 [4] (=1,5)and 4 2 2.) The equation of a circle is (x - 3) + y? = 8.The coordinates of its center and length of its radius are [1] (—3,0) and 4 [2] (3,0) and 4 [3] (-3,0) and 2vZ [4] (3,0) and 2V2 3.) Which of the following represents the equation of the circle shown graphed? 7 [1] (x-2)2+ (y +3)%= 16 T (x+2)2+(y-3)2= 4 S » 3] (x=2)2 + (y + 3)2 ) / N (x+2)¢+(y- 3]2 =16 \ 4 N 7 4.) Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equation for each circle in center-radius form. (a) C(5,2) and A(11,10) (b) C(—=2,-5)and A(3,-17) XiYt e} x| Y )(7- y"' 4= JT-FR - A= G ma - U (N AV A = 19 (T = 1D EX/%C PSP 1 e (-5 (- @L@Qfl}r@@" > 5) Flnd the intersection of the circle x> + y? = 29andy = x - 3 algebraically. i3 s Xt DR M(Ly}f'\ \/;75'7"7 k5 Y: 2 % B)74 - 1@9}} t : = vy gt 6.) Solve the following system of equations graphically. x2+y2=125 y=-x+5 0 B -5 10 ES6 7 - s i S ¢ ¢ 5 \ l-' b | o 0 on s algebraically: (x-2)2+ (y+3)?= 4 _y=3
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