Conics

Circles

13. A circle with the equation x2 + y2 = 144 is graphed in the standard (x,y) coordinate plane. At what points does the circle intersect the x-axis?

2021 June(D06) Math Question 13

25. Each side of a square is 4 cm long. One vertex of the square is at (6,2) on a square coordinate grid marked in centimeter units. Which of the following points on the grid could be another vertex of the square?

Equation of a Circle

2020 December(D03) Math Question 25

27. Graphed in the same standard (x,y) coordinate plane are a circle and a parabola. The circle has radius 3 and center (0,0). The parabola has vertex (-3,-2), has a vertical axis of symmetry, and passes through (-2,-1). The circle and the parabola intersect at how many

2015 June(73C) Math Question 27

30. The circle in the standard (x,y) coordinate plane below has center (-8.5,7.5) and has radius 5 coordinate units. Which of the following is an equation of this circle?

2015 April(73G) Math Question 30

30. Which of the following is an equation of the circle in the standard (x,y) coordinate plane whose center is at (4,−3) and whose radius is 5 coordinate units long?

2021 December(E23) Math Question 30

2013 April(71G) Math Question 32

2011 June(69F) Math Question 33

34. In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?

2021 April(Z04) Math Question 34

2009 June(67C) Math Question 36

2012 December(71A) Math Question 41

2011 April(67F) Math Question 41

42. Which of the following equations is that of a circle that
is in the standard (x,y) coordinate plane, has center
(1,--4), and has a radius of 5 coordinate units?

2019 June(B02) Math Question 42

2012 June(70C) Math Question 44

2009 April(66F) Math Question 46

2018 December(B05) Math Question 49

2010 April(68G) Math Question 52

52. In the standard (x,y) coordinate plane, the circle centered at (1,3) that passes through (4,7) is the set of all points that are:

2017 June(74C) Math Question 52

2012 April(70G) Math Question 57

60. The circle with equation x2 + (y — 1)2 = 1 is graphed in the standard (x,y) coordinate plane below. Suppose the circle rolls along the positive x-axis for 2 rotations and then stops. Which of the following is an equation of the circle in its new position?

CirclesConicsACT math questions

2021 June(D06) Math Question 13

2020 December(D03) Math Question 25