In the following figure, the circle centered at nhas a radius of 4. What is the area of the shaded region?
(A) 3π
(B) 6π
(C) 9π
(D) 12π
(E) 16π
Let f(x) = x2+ 10x+ 2. If g(x) is a transformation that moves f(x) both one unit up and one unit to the right, then g(x) =
(A) x2+ 8x– 6(B) x2+ 9x+ 3(C) x2+ 10x– 6(D) x2+ 11x+ 3(E) x2+ 12x+ 6
Correct Answer: A
Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix . ABCD is then translated, with the corners of the translated rectangle represented by the matrix . What is the value of n?
(A) 0 (B) -1 (C) -2 (D) -3 (E) -4
Correct Answer: A
The following figure shows a regular octagon inscribed in a circle. The arc length from Ato Bis 6π. What is the area of the shaded region of the circle?
(F) 8π(G) 16π(H) 24π(J) 36π(K) 64π
Correct Answer: H
More ACT Math Exam Questions
- 1The following figure is a quadrilateral with one right angle. The other angles are labeled. What is the value of x?
- 2Melissa attaches her dog's leash to a metal anchor in the grass so that
the dog can roam only within a radius of 12 feet in any direction from
the anchor. A map of the area accessible to the dog is shown below in
the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Which of the following is an equation of the circle shown on the map?
- 3
If -9(y - 13) = 16, then y = ?
- 4
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
- 5What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?