What is the ratio of a circle's radius to its circumference?
(F) 2π:1
(G) 2:01
(H) π:1
(J) 1:π
(K) 1:2π
For all negative even integers x, which of the following is a correct ordering of the terms x, xx, ((–x)!)x, and ((–x)!)(–x)!?
(A) ((-x)!)(-x)! ≥ ((-x)!)x ≥ x ≥ xx (B) ((-x)!)(-x)! ≥ xx ≥ ((-x)!)x ≥ x (C) xx ≥ x ≥ ((-x)!)(-x)! ≥ ((-x)!)x (D) xx ≥ ((-x)!)x ≥ x ≥ ((-x)!)(-x)! (E) x ≥ ((-x)!)x ≥ xx ≥ ((-x)!)(-x)!
Correct Answer: B
Which of the following degree measures is equivalent to 2.25π radians?
(A) 101.25 (B) 202.5 (C) 405 (D) 810 (E) 1,620
Correct Answer: C
A circle is inscribed in a square, as shown below. If x is the distance from the center of the circle to a vertex of the square, then what is the length of the radius of the circle, in terms of x?
(A) 2x
(B) x
(C) x
(D) 
(E) Cannot be determined from the information given
Correct Answer: D
More ACT Math Exam Questions
- 1
Dave is in Pikeston and needs to go to Danville, which is about 110 miles due south of Pikeston. From Danville, he'll head east to Rocketville, about 200 miles from Danville. As he sets out on his trip, a plane takes off from the Pikeston airport and flies directly to Rocketville. Approximately how far, in miles, does the plane fly?
- 2In the figure below, all line segments that intersect are
perpendicular. Using only the segments and vertices in the figure, how
many distinct rectangles are there with areas less than the area of ADLI?
(Note: If 2 rectangles have all four vertices in common, then they are not distinct.)
- 3
If
, what is the value of a? - 4In the standard (x,y) coordinate system, circle O has its center at (4,-3) and a radius of 12 units. Which of the following is an equation of the circle?
- 5Gina watched as a plane took off from the runway and climbed to 30,000 feet. She calculated the plane's height, h feet, t seconds after takeoff to be given by h = 1,200 + 32t. To the nearest second, how many seconds did it take the plane to climb to a height of 2 miles? (Note: 1 mile = 5,280 feet)