Circles & Conics Test Review Find the measure of each arc in B.

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Assume that the lines that appear to be tangent are tangent. Find the value of each variable.

31. For the circle below find the measure of each lettered angle or arc. (arc) a = ______

b = _______

c = ______

d = _______

e = _______

f = _______

g = _______ (arc) j = _______ (arc) m = _______

(arc) h = _______ (arc) k = _______ n = _______

32) Write the equation for the graph.

33) Write the equation of a circle that fits the description. a) has center (-6, 2) and a diameter of length 10.

b) contains the points (1, 3), (1, 7) and (-3, 3)

34) State the coordinates of the vertex and focus and the directrix equation for each parabola. a. y 

1 2 x 2 12

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b. y  2 x  3

2

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1

35) Write each circle in information form. Find the center and radius. Then graph the circle. a. x2 + y2 + 4x - 12y = 9 b. x2 + y2 + 2x + 6y - 15 = 0

36) Write the equation of the parabola described. a) directrix: y = -2 and vertex (1, 3) b) vertex (-2, 5) and focus (-2, 1)

37)

38)

Area of circle O= _______ Circumference of circle O= ______ Area of shaded sector = _______ Length of arc ABC = _______

Area of shaded region = _______